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Finding the Fourth Proportional to 19,747.60, 29,573.40 and 10,493.20

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Solution

The fourth proportional to 19,747.60, 29,573.40 and 10,493.20 is: 15,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,747.60 : 29,573.40 = 10,493.20 : x
  2. Step 2: Convert to fraction form
    19,747.60/29,573.40 = 10,493.20/x
  3. Step 3: Cross multiply
    19,747.60x = 29,573.40 × 10,493.20
  4. Step 4: Simplify right side
    19,747.60x = 310,319,600.88
  5. Step 5: Solve for x
    x = 310,319,600.88/19,747.60
  6. Step 6: Final answer
    x = 15,714.29

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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.