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Finding the Fourth Proportional to 19,609.68, 29,417.76 and 7,759.92

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Solution

The fourth proportional to 19,609.68, 29,417.76 and 7,759.92 is: 11,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,609.68 : 29,417.76 = 7,759.92 : x
  2. Step 2: Convert to fraction form
    19,609.68/29,417.76 = 7,759.92/x
  3. Step 3: Cross multiply
    19,609.68x = 29,417.76 × 7,759.92
  4. Step 4: Simplify right side
    19,609.68x = 228,279,464.18
  5. Step 5: Solve for x
    x = 228,279,464.18/19,609.68
  6. Step 6: Final answer
    x = 11,641.16

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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.