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Finding the Fourth Proportional to 16,538.76, 22,823.75 and 8,985.24

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Solution

The fourth proportional to 16,538.76, 22,823.75 and 8,985.24 is: 12,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.76 : 22,823.75 = 8,985.24 : x
  2. Step 2: Convert to fraction form
    16,538.76/22,823.75 = 8,985.24/x
  3. Step 3: Cross multiply
    16,538.76x = 22,823.75 × 8,985.24
  4. Step 4: Simplify right side
    16,538.76x = 205,076,871.45
  5. Step 5: Solve for x
    x = 205,076,871.45/16,538.76
  6. Step 6: Final answer
    x = 12,399.77

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.