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Finding the Fourth Proportional to 21,603.69, 32,407.28 and 6,614.10

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Solution

The fourth proportional to 21,603.69, 32,407.28 and 6,614.10 is: 9,921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,603.69 : 32,407.28 = 6,614.10 : x
  2. Step 2: Convert to fraction form
    21,603.69/32,407.28 = 6,614.10/x
  3. Step 3: Cross multiply
    21,603.69x = 32,407.28 × 6,614.10
  4. Step 4: Simplify right side
    21,603.69x = 214,344,990.65
  5. Step 5: Solve for x
    x = 214,344,990.65/21,603.69
  6. Step 6: Final answer
    x = 9,921.68

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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.