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Finding the Fourth Proportional to 13,281.70, 19,913.31 and 5,882.14

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Solution

The fourth proportional to 13,281.70, 19,913.31 and 5,882.14 is: 8,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.70 : 19,913.31 = 5,882.14 : x
  2. Step 2: Convert to fraction form
    13,281.70/19,913.31 = 5,882.14/x
  3. Step 3: Cross multiply
    13,281.70x = 19,913.31 × 5,882.14
  4. Step 4: Simplify right side
    13,281.70x = 117,132,877.28
  5. Step 5: Solve for x
    x = 117,132,877.28/13,281.70
  6. Step 6: Final answer
    x = 8,819.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.