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Finding the Fourth Proportional to 16,523.97, 22,803.08 and 8,970.30

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Solution

The fourth proportional to 16,523.97, 22,803.08 and 8,970.30 is: 12,379.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.97 : 22,803.08 = 8,970.30 : x
  2. Step 2: Convert to fraction form
    16,523.97/22,803.08 = 8,970.30/x
  3. Step 3: Cross multiply
    16,523.97x = 22,803.08 × 8,970.30
  4. Step 4: Simplify right side
    16,523.97x = 204,550,354.51
  5. Step 5: Solve for x
    x = 204,550,354.51/16,523.97
  6. Step 6: Final answer
    x = 12,379.01

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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.