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Finding the Fourth Proportional to 22,513.32, 33,769.24 and 6,718.46

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Solution

The fourth proportional to 22,513.32, 33,769.24 and 6,718.46 is: 10,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.32 : 33,769.24 = 6,718.46 : x
  2. Step 2: Convert to fraction form
    22,513.32/33,769.24 = 6,718.46/x
  3. Step 3: Cross multiply
    22,513.32x = 33,769.24 × 6,718.46
  4. Step 4: Simplify right side
    22,513.32x = 226,877,288.17
  5. Step 5: Solve for x
    x = 226,877,288.17/22,513.32
  6. Step 6: Final answer
    x = 10,077.47

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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.