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Finding the Fourth Proportional to 15,109.62, 22,661 and 5,746.31

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Solution

The fourth proportional to 15,109.62, 22,661 and 5,746.31 is: 8,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,109.62 : 22,661 = 5,746.31 : x
  2. Step 2: Convert to fraction form
    15,109.62/22,661 = 5,746.31/x
  3. Step 3: Cross multiply
    15,109.62x = 22,661 × 5,746.31
  4. Step 4: Simplify right side
    15,109.62x = 130,217,130.91
  5. Step 5: Solve for x
    x = 130,217,130.91/15,109.62
  6. Step 6: Final answer
    x = 8,618.16

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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.