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Finding the Fourth Proportional to 15,157.31, 22,714.89 and 13,178.88

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Solution

The fourth proportional to 15,157.31, 22,714.89 and 13,178.88 is: 19,750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,157.31 : 22,714.89 = 13,178.88 : x
  2. Step 2: Convert to fraction form
    15,157.31/22,714.89 = 13,178.88/x
  3. Step 3: Cross multiply
    15,157.31x = 22,714.89 × 13,178.88
  4. Step 4: Simplify right side
    15,157.31x = 299,356,809.52
  5. Step 5: Solve for x
    x = 299,356,809.52/15,157.31
  6. Step 6: Final answer
    x = 19,750.00

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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.