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Finding the Fourth Proportional to 28,512.84, 42,765.24 and 9,792.57

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Solution

The fourth proportional to 28,512.84, 42,765.24 and 9,792.57 is: 14,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,512.84 : 42,765.24 = 9,792.57 : x
  2. Step 2: Convert to fraction form
    28,512.84/42,765.24 = 9,792.57/x
  3. Step 3: Cross multiply
    28,512.84x = 42,765.24 × 9,792.57
  4. Step 4: Simplify right side
    28,512.84x = 418,781,606.27
  5. Step 5: Solve for x
    x = 418,781,606.27/28,512.84
  6. Step 6: Final answer
    x = 14,687.47

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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.