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Finding the Fourth Proportional to 15,442.65, 23,159.52 and 7,540.29

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Solution

The fourth proportional to 15,442.65, 23,159.52 and 7,540.29 is: 11,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.65 : 23,159.52 = 7,540.29 : x
  2. Step 2: Convert to fraction form
    15,442.65/23,159.52 = 7,540.29/x
  3. Step 3: Cross multiply
    15,442.65x = 23,159.52 × 7,540.29
  4. Step 4: Simplify right side
    15,442.65x = 174,629,497.06
  5. Step 5: Solve for x
    x = 174,629,497.06/15,442.65
  6. Step 6: Final answer
    x = 11,308.26

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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.