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Finding the Fourth Proportional to 13,106.61, 18,087.34 and 7,138.40

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Solution

The fourth proportional to 13,106.61, 18,087.34 and 7,138.40 is: 9,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.61 : 18,087.34 = 7,138.40 : x
  2. Step 2: Convert to fraction form
    13,106.61/18,087.34 = 7,138.40/x
  3. Step 3: Cross multiply
    13,106.61x = 18,087.34 × 7,138.40
  4. Step 4: Simplify right side
    13,106.61x = 129,114,640.48
  5. Step 5: Solve for x
    x = 129,114,640.48/13,106.61
  6. Step 6: Final answer
    x = 9,851.11

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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.