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Finding the Fourth Proportional to 13,985.84, 20,978.66 and 5,665.73

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Solution

The fourth proportional to 13,985.84, 20,978.66 and 5,665.73 is: 8,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.84 : 20,978.66 = 5,665.73 : x
  2. Step 2: Convert to fraction form
    13,985.84/20,978.66 = 5,665.73/x
  3. Step 3: Cross multiply
    13,985.84x = 20,978.66 × 5,665.73
  4. Step 4: Simplify right side
    13,985.84x = 118,859,290.10
  5. Step 5: Solve for x
    x = 118,859,290.10/13,985.84
  6. Step 6: Final answer
    x = 8,498.55

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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.