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Finding the Fourth Proportional to 20,614.16, 30,897.33 and 9,497.49

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Solution

The fourth proportional to 20,614.16, 30,897.33 and 9,497.49 is: 14,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.16 : 30,897.33 = 9,497.49 : x
  2. Step 2: Convert to fraction form
    20,614.16/30,897.33 = 9,497.49/x
  3. Step 3: Cross multiply
    20,614.16x = 30,897.33 × 9,497.49
  4. Step 4: Simplify right side
    20,614.16x = 293,447,082.70
  5. Step 5: Solve for x
    x = 293,447,082.70/20,614.16
  6. Step 6: Final answer
    x = 14,235.22

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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.