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Finding the Fourth Proportional to 23,241.40, 32,073.84 and 14,294.16

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Solution

The fourth proportional to 23,241.40, 32,073.84 and 14,294.16 is: 19,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241.40 : 32,073.84 = 14,294.16 : x
  2. Step 2: Convert to fraction form
    23,241.40/32,073.84 = 14,294.16/x
  3. Step 3: Cross multiply
    23,241.40x = 32,073.84 × 14,294.16
  4. Step 4: Simplify right side
    23,241.40x = 458,468,600.77
  5. Step 5: Solve for x
    x = 458,468,600.77/23,241.40
  6. Step 6: Final answer
    x = 19,726.38

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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.