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Finding the Fourth Proportional to 12,987.45, 17,922.68 and 7,019.12

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Solution

The fourth proportional to 12,987.45, 17,922.68 and 7,019.12 is: 9,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.45 : 17,922.68 = 7,019.12 : x
  2. Step 2: Convert to fraction form
    12,987.45/17,922.68 = 7,019.12/x
  3. Step 3: Cross multiply
    12,987.45x = 17,922.68 × 7,019.12
  4. Step 4: Simplify right side
    12,987.45x = 125,801,372.48
  5. Step 5: Solve for x
    x = 125,801,372.48/12,987.45
  6. Step 6: Final answer
    x = 9,686.38

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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.