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Finding the Fourth Proportional to 24,078.25, 33,226.17 and 13,465.83

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Solution

The fourth proportional to 24,078.25, 33,226.17 and 13,465.83 is: 18,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078.25 : 33,226.17 = 13,465.83 : x
  2. Step 2: Convert to fraction form
    24,078.25/33,226.17 = 13,465.83/x
  3. Step 3: Cross multiply
    24,078.25x = 33,226.17 × 13,465.83
  4. Step 4: Simplify right side
    24,078.25x = 447,417,957.59
  5. Step 5: Solve for x
    x = 447,417,957.59/24,078.25
  6. Step 6: Final answer
    x = 18,581.83

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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.