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Finding the Fourth Proportional to 14,301.87, 19,737.68 and 9,001.23

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Solution

The fourth proportional to 14,301.87, 19,737.68 and 9,001.23 is: 12,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301.87 : 19,737.68 = 9,001.23 : x
  2. Step 2: Convert to fraction form
    14,301.87/19,737.68 = 9,001.23/x
  3. Step 3: Cross multiply
    14,301.87x = 19,737.68 × 9,001.23
  4. Step 4: Simplify right side
    14,301.87x = 177,663,352.34
  5. Step 5: Solve for x
    x = 177,663,352.34/14,301.87
  6. Step 6: Final answer
    x = 12,422.39

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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.