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Finding the Fourth Proportional to 24,462.91, 33,758.95 and 13,854.61

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Solution

The fourth proportional to 24,462.91, 33,758.95 and 13,854.61 is: 19,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462.91 : 33,758.95 = 13,854.61 : x
  2. Step 2: Convert to fraction form
    24,462.91/33,758.95 = 13,854.61/x
  3. Step 3: Cross multiply
    24,462.91x = 33,758.95 × 13,854.61
  4. Step 4: Simplify right side
    24,462.91x = 467,716,967.23
  5. Step 5: Solve for x
    x = 467,716,967.23/24,462.91
  6. Step 6: Final answer
    x = 19,119.43

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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.