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Finding the Fourth Proportional to 13,475.61, 20,213.96 and 6,548.49

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Solution

The fourth proportional to 13,475.61, 20,213.96 and 6,548.49 is: 9,823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.61 : 20,213.96 = 6,548.49 : x
  2. Step 2: Convert to fraction form
    13,475.61/20,213.96 = 6,548.49/x
  3. Step 3: Cross multiply
    13,475.61x = 20,213.96 × 6,548.49
  4. Step 4: Simplify right side
    13,475.61x = 132,370,882.18
  5. Step 5: Solve for x
    x = 132,370,882.18/13,475.61
  6. Step 6: Final answer
    x = 9,823.00

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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.