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Finding the Fourth Proportional to 24,901.50, 34,364.07 and 14,965.50

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Solution

The fourth proportional to 24,901.50, 34,364.07 and 14,965.50 is: 20,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,901.50 : 34,364.07 = 14,965.50 : x
  2. Step 2: Convert to fraction form
    24,901.50/34,364.07 = 14,965.50/x
  3. Step 3: Cross multiply
    24,901.50x = 34,364.07 × 14,965.50
  4. Step 4: Simplify right side
    24,901.50x = 514,275,489.59
  5. Step 5: Solve for x
    x = 514,275,489.59/24,901.50
  6. Step 6: Final answer
    x = 20,652.39

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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.