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Finding the Fourth Proportional to 24,778.12, 34,193.46 and 15,349

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Solution

The fourth proportional to 24,778.12, 34,193.46 and 15,349 is: 21,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,778.12 : 34,193.46 = 15,349 : x
  2. Step 2: Convert to fraction form
    24,778.12/34,193.46 = 15,349/x
  3. Step 3: Cross multiply
    24,778.12x = 34,193.46 × 15,349
  4. Step 4: Simplify right side
    24,778.12x = 524,835,417.54
  5. Step 5: Solve for x
    x = 524,835,417.54/24,778.12
  6. Step 6: Final answer
    x = 21,181.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.