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Finding the Fourth Proportional to 20,614.52, 30,897.84 and 9,497.87

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Solution

The fourth proportional to 20,614.52, 30,897.84 and 9,497.87 is: 14,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.52 : 30,897.84 = 9,497.87 : x
  2. Step 2: Convert to fraction form
    20,614.52/30,897.84 = 9,497.87/x
  3. Step 3: Cross multiply
    20,614.52x = 30,897.84 × 9,497.87
  4. Step 4: Simplify right side
    20,614.52x = 293,463,667.60
  5. Step 5: Solve for x
    x = 293,463,667.60/20,614.52
  6. Step 6: Final answer
    x = 14,235.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.