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Finding the Fourth Proportional to 24,760.98, 34,158.78 and 15,804

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Solution

The fourth proportional to 24,760.98, 34,158.78 and 15,804 is: 21,802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,760.98 : 34,158.78 = 15,804 : x
  2. Step 2: Convert to fraction form
    24,760.98/34,158.78 = 15,804/x
  3. Step 3: Cross multiply
    24,760.98x = 34,158.78 × 15,804
  4. Step 4: Simplify right side
    24,760.98x = 539,845,359.12
  5. Step 5: Solve for x
    x = 539,845,359.12/24,760.98
  6. Step 6: Final answer
    x = 21,802.26

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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.