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Finding the Fourth Proportional to 16,407.34, 24,614.89 and 5,314.01

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Solution

The fourth proportional to 16,407.34, 24,614.89 and 5,314.01 is: 7,972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.34 : 24,614.89 = 5,314.01 : x
  2. Step 2: Convert to fraction form
    16,407.34/24,614.89 = 5,314.01/x
  3. Step 3: Cross multiply
    16,407.34x = 24,614.89 × 5,314.01
  4. Step 4: Simplify right side
    16,407.34x = 130,803,635.25
  5. Step 5: Solve for x
    x = 130,803,635.25/16,407.34
  6. Step 6: Final answer
    x = 7,972.26

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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.