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Finding the Fourth Proportional to 13,573.72, 20,347.10 and 6,445.46

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Solution

The fourth proportional to 13,573.72, 20,347.10 and 6,445.46 is: 9,661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.72 : 20,347.10 = 6,445.46 : x
  2. Step 2: Convert to fraction form
    13,573.72/20,347.10 = 6,445.46/x
  3. Step 3: Cross multiply
    13,573.72x = 20,347.10 × 6,445.46
  4. Step 4: Simplify right side
    13,573.72x = 131,146,419.17
  5. Step 5: Solve for x
    x = 131,146,419.17/13,573.72
  6. Step 6: Final answer
    x = 9,661.79

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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.