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Finding the Fourth Proportional to 23,549, 32,500.50 and 13,613

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Solution

The fourth proportional to 23,549, 32,500.50 and 13,613 is: 18,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549 : 32,500.50 = 13,613 : x
  2. Step 2: Convert to fraction form
    23,549/32,500.50 = 13,613/x
  3. Step 3: Cross multiply
    23,549x = 32,500.50 × 13,613
  4. Step 4: Simplify right side
    23,549x = 442,429,306.50
  5. Step 5: Solve for x
    x = 442,429,306.50/23,549
  6. Step 6: Final answer
    x = 18,787.60

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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.