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Finding the Fourth Proportional to 13,159.59, 19,744.85 and 5,760.24

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Solution

The fourth proportional to 13,159.59, 19,744.85 and 5,760.24 is: 8,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.59 : 19,744.85 = 5,760.24 : x
  2. Step 2: Convert to fraction form
    13,159.59/19,744.85 = 5,760.24/x
  3. Step 3: Cross multiply
    13,159.59x = 19,744.85 × 5,760.24
  4. Step 4: Simplify right side
    13,159.59x = 113,735,074.76
  5. Step 5: Solve for x
    x = 113,735,074.76/13,159.59
  6. Step 6: Final answer
    x = 8,642.75

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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.