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Finding the Fourth Proportional to 24,860, 34,307.34 and 13,682

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Solution

The fourth proportional to 24,860, 34,307.34 and 13,682 is: 18,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,860 : 34,307.34 = 13,682 : x
  2. Step 2: Convert to fraction form
    24,860/34,307.34 = 13,682/x
  3. Step 3: Cross multiply
    24,860x = 34,307.34 × 13,682
  4. Step 4: Simplify right side
    24,860x = 469,393,025.88
  5. Step 5: Solve for x
    x = 469,393,025.88/24,860
  6. Step 6: Final answer
    x = 18,881.46

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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.