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Finding the Fourth Proportional to 14,519.90, 21,781.78 and 4,655.90

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Solution

The fourth proportional to 14,519.90, 21,781.78 and 4,655.90 is: 6,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,519.90 : 21,781.78 = 4,655.90 : x
  2. Step 2: Convert to fraction form
    14,519.90/21,781.78 = 4,655.90/x
  3. Step 3: Cross multiply
    14,519.90x = 21,781.78 × 4,655.90
  4. Step 4: Simplify right side
    14,519.90x = 101,413,789.50
  5. Step 5: Solve for x
    x = 101,413,789.50/14,519.90
  6. Step 6: Final answer
    x = 6,984.47

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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.