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Finding the Fourth Proportional to 13,143.13, 18,137.93 and 7,478.70

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Solution

The fourth proportional to 13,143.13, 18,137.93 and 7,478.70 is: 10,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.13 : 18,137.93 = 7,478.70 : x
  2. Step 2: Convert to fraction form
    13,143.13/18,137.93 = 7,478.70/x
  3. Step 3: Cross multiply
    13,143.13x = 18,137.93 × 7,478.70
  4. Step 4: Simplify right side
    13,143.13x = 135,648,031.68
  5. Step 5: Solve for x
    x = 135,648,031.68/13,143.13
  6. Step 6: Final answer
    x = 10,320.83

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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.