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Finding the Fourth Proportional to 22,284.29, 33,432 and 15,723.29

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Solution

The fourth proportional to 22,284.29, 33,432 and 15,723.29 is: 23,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.29 : 33,432 = 15,723.29 : x
  2. Step 2: Convert to fraction form
    22,284.29/33,432 = 15,723.29/x
  3. Step 3: Cross multiply
    22,284.29x = 33,432 × 15,723.29
  4. Step 4: Simplify right side
    22,284.29x = 525,661,031.28
  5. Step 5: Solve for x
    x = 525,661,031.28/22,284.29
  6. Step 6: Final answer
    x = 23,588.86

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