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Finding the Fourth Proportional to 22,302.16, 33,454.52 and 6,718.16

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Solution

The fourth proportional to 22,302.16, 33,454.52 and 6,718.16 is: 10,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.16 : 33,454.52 = 6,718.16 : x
  2. Step 2: Convert to fraction form
    22,302.16/33,454.52 = 6,718.16/x
  3. Step 3: Cross multiply
    22,302.16x = 33,454.52 × 6,718.16
  4. Step 4: Simplify right side
    22,302.16x = 224,752,818.08
  5. Step 5: Solve for x
    x = 224,752,818.08/22,302.16
  6. Step 6: Final answer
    x = 10,077.63

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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.