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Finding the Fourth Proportional to 20,382.55, 28,125.97 and 11,428

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Solution

The fourth proportional to 20,382.55, 28,125.97 and 11,428 is: 15,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382.55 : 28,125.97 = 11,428 : x
  2. Step 2: Convert to fraction form
    20,382.55/28,125.97 = 11,428/x
  3. Step 3: Cross multiply
    20,382.55x = 28,125.97 × 11,428
  4. Step 4: Simplify right side
    20,382.55x = 321,423,585.16
  5. Step 5: Solve for x
    x = 321,423,585.16/20,382.55
  6. Step 6: Final answer
    x = 15,769.55

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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.