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Finding the Fourth Proportional to 13,259.38, 19,878.18 and 6,235.96

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Solution

The fourth proportional to 13,259.38, 19,878.18 and 6,235.96 is: 9,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259.38 : 19,878.18 = 6,235.96 : x
  2. Step 2: Convert to fraction form
    13,259.38/19,878.18 = 6,235.96/x
  3. Step 3: Cross multiply
    13,259.38x = 19,878.18 × 6,235.96
  4. Step 4: Simplify right side
    13,259.38x = 123,959,535.35
  5. Step 5: Solve for x
    x = 123,959,535.35/13,259.38
  6. Step 6: Final answer
    x = 9,348.82

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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.