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Finding the Fourth Proportional to 16,114.56, 24,148.80 and 9,174.72

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Solution

The fourth proportional to 16,114.56, 24,148.80 and 9,174.72 is: 13,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.56 : 24,148.80 = 9,174.72 : x
  2. Step 2: Convert to fraction form
    16,114.56/24,148.80 = 9,174.72/x
  3. Step 3: Cross multiply
    16,114.56x = 24,148.80 × 9,174.72
  4. Step 4: Simplify right side
    16,114.56x = 221,558,478.34
  5. Step 5: Solve for x
    x = 221,558,478.34/16,114.56
  6. Step 6: Final answer
    x = 13,748.96

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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.