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Finding the Fourth Proportional to 24,074.31, 33,219.39 and 13,465.89

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Solution

The fourth proportional to 24,074.31, 33,219.39 and 13,465.89 is: 18,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074.31 : 33,219.39 = 13,465.89 : x
  2. Step 2: Convert to fraction form
    24,074.31/33,219.39 = 13,465.89/x
  3. Step 3: Cross multiply
    24,074.31x = 33,219.39 × 13,465.89
  4. Step 4: Simplify right side
    24,074.31x = 447,328,651.61
  5. Step 5: Solve for x
    x = 447,328,651.61/24,074.31
  6. Step 6: Final answer
    x = 18,581.16

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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.