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Finding the Fourth Proportional to 16,656.24, 24,932.88 and 9,141

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Solution

The fourth proportional to 16,656.24, 24,932.88 and 9,141 is: 13,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,656.24 : 24,932.88 = 9,141 : x
  2. Step 2: Convert to fraction form
    16,656.24/24,932.88 = 9,141/x
  3. Step 3: Cross multiply
    16,656.24x = 24,932.88 × 9,141
  4. Step 4: Simplify right side
    16,656.24x = 227,911,456.08
  5. Step 5: Solve for x
    x = 227,911,456.08/16,656.24
  6. Step 6: Final answer
    x = 13,683.25

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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.