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Finding the Fourth Proportional to 24,862.50, 34,281.09 and 17,776.98

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Solution

The fourth proportional to 24,862.50, 34,281.09 and 17,776.98 is: 24,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,862.50 : 34,281.09 = 17,776.98 : x
  2. Step 2: Convert to fraction form
    24,862.50/34,281.09 = 17,776.98/x
  3. Step 3: Cross multiply
    24,862.50x = 34,281.09 × 17,776.98
  4. Step 4: Simplify right side
    24,862.50x = 609,414,251.31
  5. Step 5: Solve for x
    x = 609,414,251.31/24,862.50
  6. Step 6: Final answer
    x = 24,511.38

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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.