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Finding the Fourth Proportional to 13,573.60, 20,348.84 and 6,175.46

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Solution

The fourth proportional to 13,573.60, 20,348.84 and 6,175.46 is: 9,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.60 : 20,348.84 = 6,175.46 : x
  2. Step 2: Convert to fraction form
    13,573.60/20,348.84 = 6,175.46/x
  3. Step 3: Cross multiply
    13,573.60x = 20,348.84 × 6,175.46
  4. Step 4: Simplify right side
    13,573.60x = 125,663,447.47
  5. Step 5: Solve for x
    x = 125,663,447.47/13,573.60
  6. Step 6: Final answer
    x = 9,257.93

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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.