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Finding the Fourth Proportional to 13,712.49, 18,923.18 and 7,424.87

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Solution

The fourth proportional to 13,712.49, 18,923.18 and 7,424.87 is: 10,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.49 : 18,923.18 = 7,424.87 : x
  2. Step 2: Convert to fraction form
    13,712.49/18,923.18 = 7,424.87/x
  3. Step 3: Cross multiply
    13,712.49x = 18,923.18 × 7,424.87
  4. Step 4: Simplify right side
    13,712.49x = 140,502,019.75
  5. Step 5: Solve for x
    x = 140,502,019.75/13,712.49
  6. Step 6: Final answer
    x = 10,246.28

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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.