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Finding the Fourth Proportional to 13,957.56, 20,941.20 and 6,567.66

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Solution

The fourth proportional to 13,957.56, 20,941.20 and 6,567.66 is: 9,853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.56 : 20,941.20 = 6,567.66 : x
  2. Step 2: Convert to fraction form
    13,957.56/20,941.20 = 6,567.66/x
  3. Step 3: Cross multiply
    13,957.56x = 20,941.20 × 6,567.66
  4. Step 4: Simplify right side
    13,957.56x = 137,534,681.59
  5. Step 5: Solve for x
    x = 137,534,681.59/13,957.56
  6. Step 6: Final answer
    x = 9,853.78

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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.