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Finding the Fourth Proportional to 24,716, 34,108.20 and 13,538

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Solution

The fourth proportional to 24,716, 34,108.20 and 13,538 is: 18,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716 : 34,108.20 = 13,538 : x
  2. Step 2: Convert to fraction form
    24,716/34,108.20 = 13,538/x
  3. Step 3: Cross multiply
    24,716x = 34,108.20 × 13,538
  4. Step 4: Simplify right side
    24,716x = 461,756,811.60
  5. Step 5: Solve for x
    x = 461,756,811.60/24,716
  6. Step 6: Final answer
    x = 18,682.51

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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.