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Finding the Fourth Proportional to 22,271.16, 30,734.12 and 12,335.16

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Solution

The fourth proportional to 22,271.16, 30,734.12 and 12,335.16 is: 17,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.16 : 30,734.12 = 12,335.16 : x
  2. Step 2: Convert to fraction form
    22,271.16/30,734.12 = 12,335.16/x
  3. Step 3: Cross multiply
    22,271.16x = 30,734.12 × 12,335.16
  4. Step 4: Simplify right side
    22,271.16x = 379,110,287.66
  5. Step 5: Solve for x
    x = 379,110,287.66/22,271.16
  6. Step 6: Final answer
    x = 17,022.48

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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.