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Finding the Fourth Proportional to 22,041.72, 30,407.40 and 13,084.16

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Solution

The fourth proportional to 22,041.72, 30,407.40 and 13,084.16 is: 18,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,041.72 : 30,407.40 = 13,084.16 : x
  2. Step 2: Convert to fraction form
    22,041.72/30,407.40 = 13,084.16/x
  3. Step 3: Cross multiply
    22,041.72x = 30,407.40 × 13,084.16
  4. Step 4: Simplify right side
    22,041.72x = 397,855,286.78
  5. Step 5: Solve for x
    x = 397,855,286.78/22,041.72
  6. Step 6: Final answer
    x = 18,050.10

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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.