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Finding the Fourth Proportional to 15,527.91, 21,428.57 and 8,454.38

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Solution

The fourth proportional to 15,527.91, 21,428.57 and 8,454.38 is: 11,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,527.91 : 21,428.57 = 8,454.38 : x
  2. Step 2: Convert to fraction form
    15,527.91/21,428.57 = 8,454.38/x
  3. Step 3: Cross multiply
    15,527.91x = 21,428.57 × 8,454.38
  4. Step 4: Simplify right side
    15,527.91x = 181,165,124.22
  5. Step 5: Solve for x
    x = 181,165,124.22/15,527.91
  6. Step 6: Final answer
    x = 11,667.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.