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Finding the Fourth Proportional to 23,442.30, 35,159.66 and 8,658.18

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Solution

The fourth proportional to 23,442.30, 35,159.66 and 8,658.18 is: 12,985.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,442.30 : 35,159.66 = 8,658.18 : x
  2. Step 2: Convert to fraction form
    23,442.30/35,159.66 = 8,658.18/x
  3. Step 3: Cross multiply
    23,442.30x = 35,159.66 × 8,658.18
  4. Step 4: Simplify right side
    23,442.30x = 304,418,665.02
  5. Step 5: Solve for x
    x = 304,418,665.02/23,442.30
  6. Step 6: Final answer
    x = 12,985.87

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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.