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Finding the Fourth Proportional to 13,159.86, 18,160.09 and 7,191.60

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Solution

The fourth proportional to 13,159.86, 18,160.09 and 7,191.60 is: 9,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.86 : 18,160.09 = 7,191.60 : x
  2. Step 2: Convert to fraction form
    13,159.86/18,160.09 = 7,191.60/x
  3. Step 3: Cross multiply
    13,159.86x = 18,160.09 × 7,191.60
  4. Step 4: Simplify right side
    13,159.86x = 130,600,103.24
  5. Step 5: Solve for x
    x = 130,600,103.24/13,159.86
  6. Step 6: Final answer
    x = 9,924.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.