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Finding the Fourth Proportional to 24,932.50, 34,407.50 and 13,602.19

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Solution

The fourth proportional to 24,932.50, 34,407.50 and 13,602.19 is: 18,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,932.50 : 34,407.50 = 13,602.19 : x
  2. Step 2: Convert to fraction form
    24,932.50/34,407.50 = 13,602.19/x
  3. Step 3: Cross multiply
    24,932.50x = 34,407.50 × 13,602.19
  4. Step 4: Simplify right side
    24,932.50x = 468,017,352.43
  5. Step 5: Solve for x
    x = 468,017,352.43/24,932.50
  6. Step 6: Final answer
    x = 18,771.38

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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.