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Finding the Fourth Proportional to 24,499.84, 33,810.12 and 13,321.84

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Solution

The fourth proportional to 24,499.84, 33,810.12 and 13,321.84 is: 18,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,499.84 : 33,810.12 = 13,321.84 : x
  2. Step 2: Convert to fraction form
    24,499.84/33,810.12 = 13,321.84/x
  3. Step 3: Cross multiply
    24,499.84x = 33,810.12 × 13,321.84
  4. Step 4: Simplify right side
    24,499.84x = 450,413,009.02
  5. Step 5: Solve for x
    x = 450,413,009.02/24,499.84
  6. Step 6: Final answer
    x = 18,384.32

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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.