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Finding the Fourth Proportional to 13,023.84, 17,974.68 and 7,987.17

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Solution

The fourth proportional to 13,023.84, 17,974.68 and 7,987.17 is: 11,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.84 : 17,974.68 = 7,987.17 : x
  2. Step 2: Convert to fraction form
    13,023.84/17,974.68 = 7,987.17/x
  3. Step 3: Cross multiply
    13,023.84x = 17,974.68 × 7,987.17
  4. Step 4: Simplify right side
    13,023.84x = 143,566,824.86
  5. Step 5: Solve for x
    x = 143,566,824.86/13,023.84
  6. Step 6: Final answer
    x = 11,023.39

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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.