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Finding the Fourth Proportional to 22,701.32, 34,056.78 and 7,120.52

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Solution

The fourth proportional to 22,701.32, 34,056.78 and 7,120.52 is: 10,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,701.32 : 34,056.78 = 7,120.52 : x
  2. Step 2: Convert to fraction form
    22,701.32/34,056.78 = 7,120.52/x
  3. Step 3: Cross multiply
    22,701.32x = 34,056.78 × 7,120.52
  4. Step 4: Simplify right side
    22,701.32x = 242,501,983.13
  5. Step 5: Solve for x
    x = 242,501,983.13/22,701.32
  6. Step 6: Final answer
    x = 10,682.29

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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.