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Finding the Fourth Proportional to 24,726, 34,123.50 and 13,548

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Solution

The fourth proportional to 24,726, 34,123.50 and 13,548 is: 18,697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,726 : 34,123.50 = 13,548 : x
  2. Step 2: Convert to fraction form
    24,726/34,123.50 = 13,548/x
  3. Step 3: Cross multiply
    24,726x = 34,123.50 × 13,548
  4. Step 4: Simplify right side
    24,726x = 462,305,178
  5. Step 5: Solve for x
    x = 462,305,178/24,726
  6. Step 6: Final answer
    x = 18,697.13

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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.