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Finding the Fourth Proportional to 25,706.60, 38,564.47 and 9,076.29

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Solution

The fourth proportional to 25,706.60, 38,564.47 and 9,076.29 is: 13,616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706.60 : 38,564.47 = 9,076.29 : x
  2. Step 2: Convert to fraction form
    25,706.60/38,564.47 = 9,076.29/x
  3. Step 3: Cross multiply
    25,706.60x = 38,564.47 × 9,076.29
  4. Step 4: Simplify right side
    25,706.60x = 350,022,180.14
  5. Step 5: Solve for x
    x = 350,022,180.14/25,706.60
  6. Step 6: Final answer
    x = 13,616.04

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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.