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Finding the Fourth Proportional to 13,157.58, 19,714.48 and 9,253.78

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Solution

The fourth proportional to 13,157.58, 19,714.48 and 9,253.78 is: 13,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.58 : 19,714.48 = 9,253.78 : x
  2. Step 2: Convert to fraction form
    13,157.58/19,714.48 = 9,253.78/x
  3. Step 3: Cross multiply
    13,157.58x = 19,714.48 × 9,253.78
  4. Step 4: Simplify right side
    13,157.58x = 182,433,460.73
  5. Step 5: Solve for x
    x = 182,433,460.73/13,157.58
  6. Step 6: Final answer
    x = 13,865.27

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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.