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Finding the Fourth Proportional to 24,909.14, 37,322.16 and 17,878.61

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Solution

The fourth proportional to 24,909.14, 37,322.16 and 17,878.61 is: 26,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,909.14 : 37,322.16 = 17,878.61 : x
  2. Step 2: Convert to fraction form
    24,909.14/37,322.16 = 17,878.61/x
  3. Step 3: Cross multiply
    24,909.14x = 37,322.16 × 17,878.61
  4. Step 4: Simplify right side
    24,909.14x = 667,268,156.39
  5. Step 5: Solve for x
    x = 667,268,156.39/24,909.14
  6. Step 6: Final answer
    x = 26,788.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.