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Finding the Fourth Proportional to 23,767.65, 32,799.15 and 13,157.01

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Solution

The fourth proportional to 23,767.65, 32,799.15 and 13,157.01 is: 18,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,767.65 : 32,799.15 = 13,157.01 : x
  2. Step 2: Convert to fraction form
    23,767.65/32,799.15 = 13,157.01/x
  3. Step 3: Cross multiply
    23,767.65x = 32,799.15 × 13,157.01
  4. Step 4: Simplify right side
    23,767.65x = 431,538,744.54
  5. Step 5: Solve for x
    x = 431,538,744.54/23,767.65
  6. Step 6: Final answer
    x = 18,156.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.