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Finding the Fourth Proportional to 22,264.32, 30,725.76 and 12,328.32

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Solution

The fourth proportional to 22,264.32, 30,725.76 and 12,328.32 is: 17,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.32 : 30,725.76 = 12,328.32 : x
  2. Step 2: Convert to fraction form
    22,264.32/30,725.76 = 12,328.32/x
  3. Step 3: Cross multiply
    22,264.32x = 30,725.76 × 12,328.32
  4. Step 4: Simplify right side
    22,264.32x = 378,797,001.52
  5. Step 5: Solve for x
    x = 378,797,001.52/22,264.32
  6. Step 6: Final answer
    x = 17,013.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.