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Finding the Fourth Proportional to 20,807.56, 31,184.34 and 15,859

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Solution

The fourth proportional to 20,807.56, 31,184.34 and 15,859 is: 23,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.56 : 31,184.34 = 15,859 : x
  2. Step 2: Convert to fraction form
    20,807.56/31,184.34 = 15,859/x
  3. Step 3: Cross multiply
    20,807.56x = 31,184.34 × 15,859
  4. Step 4: Simplify right side
    20,807.56x = 494,552,448.06
  5. Step 5: Solve for x
    x = 494,552,448.06/20,807.56
  6. Step 6: Final answer
    x = 23,767.92

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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.