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Finding the Fourth Proportional to 21,614.38, 32,423.38 and 6,032

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Solution

The fourth proportional to 21,614.38, 32,423.38 and 6,032 is: 9,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.38 : 32,423.38 = 6,032 : x
  2. Step 2: Convert to fraction form
    21,614.38/32,423.38 = 6,032/x
  3. Step 3: Cross multiply
    21,614.38x = 32,423.38 × 6,032
  4. Step 4: Simplify right side
    21,614.38x = 195,577,828.16
  5. Step 5: Solve for x
    x = 195,577,828.16/21,614.38
  6. Step 6: Final answer
    x = 9,048.51

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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.