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Finding the Fourth Proportional to 15,128.16, 22,654.48 and 9,564.72

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Solution

The fourth proportional to 15,128.16, 22,654.48 and 9,564.72 is: 14,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,128.16 : 22,654.48 = 9,564.72 : x
  2. Step 2: Convert to fraction form
    15,128.16/22,654.48 = 9,564.72/x
  3. Step 3: Cross multiply
    15,128.16x = 22,654.48 × 9,564.72
  4. Step 4: Simplify right side
    15,128.16x = 216,683,757.95
  5. Step 5: Solve for x
    x = 216,683,757.95/15,128.16
  6. Step 6: Final answer
    x = 14,323.21

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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.