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Finding the Fourth Proportional to 22,721.64, 34,077 and 7,139.28

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Solution

The fourth proportional to 22,721.64, 34,077 and 7,139.28 is: 10,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,721.64 : 34,077 = 7,139.28 : x
  2. Step 2: Convert to fraction form
    22,721.64/34,077 = 7,139.28/x
  3. Step 3: Cross multiply
    22,721.64x = 34,077 × 7,139.28
  4. Step 4: Simplify right side
    22,721.64x = 243,285,244.56
  5. Step 5: Solve for x
    x = 243,285,244.56/22,721.64
  6. Step 6: Final answer
    x = 10,707.20

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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.