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Finding the Fourth Proportional to 13,108.23, 18,089.78 and 7,140.09

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Solution

The fourth proportional to 13,108.23, 18,089.78 and 7,140.09 is: 9,853.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108.23 : 18,089.78 = 7,140.09 : x
  2. Step 2: Convert to fraction form
    13,108.23/18,089.78 = 7,140.09/x
  3. Step 3: Cross multiply
    13,108.23x = 18,089.78 × 7,140.09
  4. Step 4: Simplify right side
    13,108.23x = 129,162,621.58
  5. Step 5: Solve for x
    x = 129,162,621.58/13,108.23
  6. Step 6: Final answer
    x = 9,853.55

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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.