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Finding the Fourth Proportional to 15,084.88, 20,819.08 and 8,462.16

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Solution

The fourth proportional to 15,084.88, 20,819.08 and 8,462.16 is: 11,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,084.88 : 20,819.08 = 8,462.16 : x
  2. Step 2: Convert to fraction form
    15,084.88/20,819.08 = 8,462.16/x
  3. Step 3: Cross multiply
    15,084.88x = 20,819.08 × 8,462.16
  4. Step 4: Simplify right side
    15,084.88x = 176,174,386.01
  5. Step 5: Solve for x
    x = 176,174,386.01/15,084.88
  6. Step 6: Final answer
    x = 11,678.87

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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.