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Finding the Fourth Proportional to 13,877.08, 20,822.45 and 6,480.46

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Solution

The fourth proportional to 13,877.08, 20,822.45 and 6,480.46 is: 9,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.08 : 20,822.45 = 6,480.46 : x
  2. Step 2: Convert to fraction form
    13,877.08/20,822.45 = 6,480.46/x
  3. Step 3: Cross multiply
    13,877.08x = 20,822.45 × 6,480.46
  4. Step 4: Simplify right side
    13,877.08x = 134,939,106.38
  5. Step 5: Solve for x
    x = 134,939,106.38/13,877.08
  6. Step 6: Final answer
    x = 9,723.89

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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.