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Finding the Fourth Proportional to 22,510.72, 31,065.13 and 12,439.39

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Solution

The fourth proportional to 22,510.72, 31,065.13 and 12,439.39 is: 17,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,510.72 : 31,065.13 = 12,439.39 : x
  2. Step 2: Convert to fraction form
    22,510.72/31,065.13 = 12,439.39/x
  3. Step 3: Cross multiply
    22,510.72x = 31,065.13 × 12,439.39
  4. Step 4: Simplify right side
    22,510.72x = 386,431,267.47
  5. Step 5: Solve for x
    x = 386,431,267.47/22,510.72
  6. Step 6: Final answer
    x = 17,166.54

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Why These Related Problems?

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