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Finding the Fourth Proportional to 22,082.68, 30,463.86 and 13,125.16

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Solution

The fourth proportional to 22,082.68, 30,463.86 and 13,125.16 is: 18,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082.68 : 30,463.86 = 13,125.16 : x
  2. Step 2: Convert to fraction form
    22,082.68/30,463.86 = 13,125.16/x
  3. Step 3: Cross multiply
    22,082.68x = 30,463.86 × 13,125.16
  4. Step 4: Simplify right side
    22,082.68x = 399,843,036.72
  5. Step 5: Solve for x
    x = 399,843,036.72/22,082.68
  6. Step 6: Final answer
    x = 18,106.64

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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.