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Finding the Fourth Proportional to 23,862.52, 32,927.90 and 14,299.87

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Solution

The fourth proportional to 23,862.52, 32,927.90 and 14,299.87 is: 19,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,862.52 : 32,927.90 = 14,299.87 : x
  2. Step 2: Convert to fraction form
    23,862.52/32,927.90 = 14,299.87/x
  3. Step 3: Cross multiply
    23,862.52x = 32,927.90 × 14,299.87
  4. Step 4: Simplify right side
    23,862.52x = 470,864,645.45
  5. Step 5: Solve for x
    x = 470,864,645.45/23,862.52
  6. Step 6: Final answer
    x = 19,732.39

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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.