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Finding the Fourth Proportional to 19,759.30, 29,641.84 and 6,427.92

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Solution

The fourth proportional to 19,759.30, 29,641.84 and 6,427.92 is: 9,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,759.30 : 29,641.84 = 6,427.92 : x
  2. Step 2: Convert to fraction form
    19,759.30/29,641.84 = 6,427.92/x
  3. Step 3: Cross multiply
    19,759.30x = 29,641.84 × 6,427.92
  4. Step 4: Simplify right side
    19,759.30x = 190,535,376.17
  5. Step 5: Solve for x
    x = 190,535,376.17/19,759.30
  6. Step 6: Final answer
    x = 9,642.82

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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.