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Finding the Fourth Proportional to 24,563.50, 33,897.90 and 13,385.50

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Solution

The fourth proportional to 24,563.50, 33,897.90 and 13,385.50 is: 18,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.50 : 33,897.90 = 13,385.50 : x
  2. Step 2: Convert to fraction form
    24,563.50/33,897.90 = 13,385.50/x
  3. Step 3: Cross multiply
    24,563.50x = 33,897.90 × 13,385.50
  4. Step 4: Simplify right side
    24,563.50x = 453,740,340.45
  5. Step 5: Solve for x
    x = 453,740,340.45/24,563.50
  6. Step 6: Final answer
    x = 18,472.14

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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.