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Finding the Fourth Proportional to 13,159.68, 19,666.74 and 11,789.16

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Solution

The fourth proportional to 13,159.68, 19,666.74 and 11,789.16 is: 17,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.68 : 19,666.74 = 11,789.16 : x
  2. Step 2: Convert to fraction form
    13,159.68/19,666.74 = 11,789.16/x
  3. Step 3: Cross multiply
    13,159.68x = 19,666.74 × 11,789.16
  4. Step 4: Simplify right side
    13,159.68x = 231,854,344.54
  5. Step 5: Solve for x
    x = 231,854,344.54/13,159.68
  6. Step 6: Final answer
    x = 17,618.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.