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Finding the Fourth Proportional to 13,381.92, 18,465.51 and 7,412.07

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Solution

The fourth proportional to 13,381.92, 18,465.51 and 7,412.07 is: 10,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.92 : 18,465.51 = 7,412.07 : x
  2. Step 2: Convert to fraction form
    13,381.92/18,465.51 = 7,412.07/x
  3. Step 3: Cross multiply
    13,381.92x = 18,465.51 × 7,412.07
  4. Step 4: Simplify right side
    13,381.92x = 136,867,652.71
  5. Step 5: Solve for x
    x = 136,867,652.71/13,381.92
  6. Step 6: Final answer
    x = 10,227.80

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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.