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Finding the Fourth Proportional to 24,199.71, 36,294.09 and 9,201.48

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Solution

The fourth proportional to 24,199.71, 36,294.09 and 9,201.48 is: 13,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.71 : 36,294.09 = 9,201.48 : x
  2. Step 2: Convert to fraction form
    24,199.71/36,294.09 = 9,201.48/x
  3. Step 3: Cross multiply
    24,199.71x = 36,294.09 × 9,201.48
  4. Step 4: Simplify right side
    24,199.71x = 333,959,252.52
  5. Step 5: Solve for x
    x = 333,959,252.52/24,199.71
  6. Step 6: Final answer
    x = 13,800.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.