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Finding the Fourth Proportional to 14,542.59, 21,781.08 and 6,735

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Solution

The fourth proportional to 14,542.59, 21,781.08 and 6,735 is: 10,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.59 : 21,781.08 = 6,735 : x
  2. Step 2: Convert to fraction form
    14,542.59/21,781.08 = 6,735/x
  3. Step 3: Cross multiply
    14,542.59x = 21,781.08 × 6,735
  4. Step 4: Simplify right side
    14,542.59x = 146,695,573.80
  5. Step 5: Solve for x
    x = 146,695,573.80/14,542.59
  6. Step 6: Final answer
    x = 10,087.31

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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.