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Finding the Fourth Proportional to 15,458.28, 23,188.54 and 7,665

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Solution

The fourth proportional to 15,458.28, 23,188.54 and 7,665 is: 11,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,458.28 : 23,188.54 = 7,665 : x
  2. Step 2: Convert to fraction form
    15,458.28/23,188.54 = 7,665/x
  3. Step 3: Cross multiply
    15,458.28x = 23,188.54 × 7,665
  4. Step 4: Simplify right side
    15,458.28x = 177,740,159.10
  5. Step 5: Solve for x
    x = 177,740,159.10/15,458.28
  6. Step 6: Final answer
    x = 11,498.06

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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.