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Finding the Fourth Proportional to 16,386.72, 22,614.04 and 9,674

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Solution

The fourth proportional to 16,386.72, 22,614.04 and 9,674 is: 13,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.72 : 22,614.04 = 9,674 : x
  2. Step 2: Convert to fraction form
    16,386.72/22,614.04 = 9,674/x
  3. Step 3: Cross multiply
    16,386.72x = 22,614.04 × 9,674
  4. Step 4: Simplify right side
    16,386.72x = 218,768,222.96
  5. Step 5: Solve for x
    x = 218,768,222.96/16,386.72
  6. Step 6: Final answer
    x = 13,350.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.