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Finding the Fourth Proportional to 24,779.12, 34,194.84 and 15,350

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Solution

The fourth proportional to 24,779.12, 34,194.84 and 15,350 is: 21,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,779.12 : 34,194.84 = 15,350 : x
  2. Step 2: Convert to fraction form
    24,779.12/34,194.84 = 15,350/x
  3. Step 3: Cross multiply
    24,779.12x = 34,194.84 × 15,350
  4. Step 4: Simplify right side
    24,779.12x = 524,890,794.00
  5. Step 5: Solve for x
    x = 524,890,794.00/24,779.12
  6. Step 6: Final answer
    x = 21,182.79

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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.