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Finding the Fourth Proportional to 16,642.56, 24,954.12 and 11,385.66

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Solution

The fourth proportional to 16,642.56, 24,954.12 and 11,385.66 is: 17,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.56 : 24,954.12 = 11,385.66 : x
  2. Step 2: Convert to fraction form
    16,642.56/24,954.12 = 11,385.66/x
  3. Step 3: Cross multiply
    16,642.56x = 24,954.12 × 11,385.66
  4. Step 4: Simplify right side
    16,642.56x = 284,119,125.92
  5. Step 5: Solve for x
    x = 284,119,125.92/16,642.56
  6. Step 6: Final answer
    x = 17,071.84

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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.