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Finding the Fourth Proportional to 13,106.74, 18,087.52 and 7,138.53

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Solution

The fourth proportional to 13,106.74, 18,087.52 and 7,138.53 is: 9,851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.74 : 18,087.52 = 7,138.53 : x
  2. Step 2: Convert to fraction form
    13,106.74/18,087.52 = 7,138.53/x
  3. Step 3: Cross multiply
    13,106.74x = 18,087.52 × 7,138.53
  4. Step 4: Simplify right side
    13,106.74x = 129,118,304.15
  5. Step 5: Solve for x
    x = 129,118,304.15/13,106.74
  6. Step 6: Final answer
    x = 9,851.29

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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.