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Finding the Fourth Proportional to 13,023.38, 17,966.41 and 7,985.59

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Solution

The fourth proportional to 13,023.38, 17,966.41 and 7,985.59 is: 11,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.38 : 17,966.41 = 7,985.59 : x
  2. Step 2: Convert to fraction form
    13,023.38/17,966.41 = 7,985.59/x
  3. Step 3: Cross multiply
    13,023.38x = 17,966.41 × 7,985.59
  4. Step 4: Simplify right side
    13,023.38x = 143,472,319.15
  5. Step 5: Solve for x
    x = 143,472,319.15/13,023.38
  6. Step 6: Final answer
    x = 11,016.52

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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.