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Finding the Fourth Proportional to 16,581.12, 24,870.72 and 7,344

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Solution

The fourth proportional to 16,581.12, 24,870.72 and 7,344 is: 11,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,581.12 : 24,870.72 = 7,344 : x
  2. Step 2: Convert to fraction form
    16,581.12/24,870.72 = 7,344/x
  3. Step 3: Cross multiply
    16,581.12x = 24,870.72 × 7,344
  4. Step 4: Simplify right side
    16,581.12x = 182,650,567.68
  5. Step 5: Solve for x
    x = 182,650,567.68/16,581.12
  6. Step 6: Final answer
    x = 11,015.57

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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.