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Finding the Fourth Proportional to 13,135.20, 19,642.86 and 9,805.74

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Solution

The fourth proportional to 13,135.20, 19,642.86 and 9,805.74 is: 14,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.20 : 19,642.86 = 9,805.74 : x
  2. Step 2: Convert to fraction form
    13,135.20/19,642.86 = 9,805.74/x
  3. Step 3: Cross multiply
    13,135.20x = 19,642.86 × 9,805.74
  4. Step 4: Simplify right side
    13,135.20x = 192,612,778.02
  5. Step 5: Solve for x
    x = 192,612,778.02/13,135.20
  6. Step 6: Final answer
    x = 14,663.86

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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.