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Finding the Fourth Proportional to 15,545.25, 23,319.09 and 5,157

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Solution

The fourth proportional to 15,545.25, 23,319.09 and 5,157 is: 7,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,545.25 : 23,319.09 = 5,157 : x
  2. Step 2: Convert to fraction form
    15,545.25/23,319.09 = 5,157/x
  3. Step 3: Cross multiply
    15,545.25x = 23,319.09 × 5,157
  4. Step 4: Simplify right side
    15,545.25x = 120,256,547.13
  5. Step 5: Solve for x
    x = 120,256,547.13/15,545.25
  6. Step 6: Final answer
    x = 7,735.90

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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.