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Finding the Fourth Proportional to 24,497.72, 33,800.94 and 15,542

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Solution

The fourth proportional to 24,497.72, 33,800.94 and 15,542 is: 21,444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.72 : 33,800.94 = 15,542 : x
  2. Step 2: Convert to fraction form
    24,497.72/33,800.94 = 15,542/x
  3. Step 3: Cross multiply
    24,497.72x = 33,800.94 × 15,542
  4. Step 4: Simplify right side
    24,497.72x = 525,334,209.48
  5. Step 5: Solve for x
    x = 525,334,209.48/24,497.72
  6. Step 6: Final answer
    x = 21,444.21

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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.