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Finding the Fourth Proportional to 15,342.90, 23,014.35 and 8,461.14

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Solution

The fourth proportional to 15,342.90, 23,014.35 and 8,461.14 is: 12,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342.90 : 23,014.35 = 8,461.14 : x
  2. Step 2: Convert to fraction form
    15,342.90/23,014.35 = 8,461.14/x
  3. Step 3: Cross multiply
    15,342.90x = 23,014.35 × 8,461.14
  4. Step 4: Simplify right side
    15,342.90x = 194,727,637.36
  5. Step 5: Solve for x
    x = 194,727,637.36/15,342.90
  6. Step 6: Final answer
    x = 12,691.71

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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.