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Finding the Fourth Proportional to 13,680.48, 20,502.90 and 6,178.46

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Solution

The fourth proportional to 13,680.48, 20,502.90 and 6,178.46 is: 9,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.48 : 20,502.90 = 6,178.46 : x
  2. Step 2: Convert to fraction form
    13,680.48/20,502.90 = 6,178.46/x
  3. Step 3: Cross multiply
    13,680.48x = 20,502.90 × 6,178.46
  4. Step 4: Simplify right side
    13,680.48x = 126,676,347.53
  5. Step 5: Solve for x
    x = 126,676,347.53/13,680.48
  6. Step 6: Final answer
    x = 9,259.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.