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Finding the Fourth Proportional to 13,148.70, 18,143.19 and 7,843.74

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Solution

The fourth proportional to 13,148.70, 18,143.19 and 7,843.74 is: 10,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148.70 : 18,143.19 = 7,843.74 : x
  2. Step 2: Convert to fraction form
    13,148.70/18,143.19 = 7,843.74/x
  3. Step 3: Cross multiply
    13,148.70x = 18,143.19 × 7,843.74
  4. Step 4: Simplify right side
    13,148.70x = 142,310,465.13
  5. Step 5: Solve for x
    x = 142,310,465.13/13,148.70
  6. Step 6: Final answer
    x = 10,823.16

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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.