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Finding the Fourth Proportional to 24,704, 34,091.84 and 13,525.76

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Solution

The fourth proportional to 24,704, 34,091.84 and 13,525.76 is: 18,665.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704 : 34,091.84 = 13,525.76 : x
  2. Step 2: Convert to fraction form
    24,704/34,091.84 = 13,525.76/x
  3. Step 3: Cross multiply
    24,704x = 34,091.84 × 13,525.76
  4. Step 4: Simplify right side
    24,704x = 461,118,045.80
  5. Step 5: Solve for x
    x = 461,118,045.80/24,704
  6. Step 6: Final answer
    x = 18,665.72

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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.