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Finding the Fourth Proportional to 24,065.15, 33,210 and 13,454.76

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Solution

The fourth proportional to 24,065.15, 33,210 and 13,454.76 is: 18,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.15 : 33,210 = 13,454.76 : x
  2. Step 2: Convert to fraction form
    24,065.15/33,210 = 13,454.76/x
  3. Step 3: Cross multiply
    24,065.15x = 33,210 × 13,454.76
  4. Step 4: Simplify right side
    24,065.15x = 446,832,517.33
  5. Step 5: Solve for x
    x = 446,832,517.33/24,065.15
  6. Step 6: Final answer
    x = 18,567.62

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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.