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Finding the Fourth Proportional to 13,157.37, 19,714.14 and 9,253.53

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Solution

The fourth proportional to 13,157.37, 19,714.14 and 9,253.53 is: 13,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.37 : 19,714.14 = 9,253.53 : x
  2. Step 2: Convert to fraction form
    13,157.37/19,714.14 = 9,253.53/x
  3. Step 3: Cross multiply
    13,157.37x = 19,714.14 × 9,253.53
  4. Step 4: Simplify right side
    13,157.37x = 182,425,385.91
  5. Step 5: Solve for x
    x = 182,425,385.91/13,157.37
  6. Step 6: Final answer
    x = 13,864.88

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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.