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Finding the Fourth Proportional to 10,489.52, 14,434.36 and 10,424.72

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Solution

The fourth proportional to 10,489.52, 14,434.36 and 10,424.72 is: 14,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.52 : 14,434.36 = 10,424.72 : x
  2. Step 2: Convert to fraction form
    10,489.52/14,434.36 = 10,424.72/x
  3. Step 3: Cross multiply
    10,489.52x = 14,434.36 × 10,424.72
  4. Step 4: Simplify right side
    10,489.52x = 150,474,161.38
  5. Step 5: Solve for x
    x = 150,474,161.38/10,489.52
  6. Step 6: Final answer
    x = 14,345.19

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Why These Related Problems?

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