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Finding the Fourth Proportional to 22,803.03, 31,468.10 and 12,731.38

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Solution

The fourth proportional to 22,803.03, 31,468.10 and 12,731.38 is: 17,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803.03 : 31,468.10 = 12,731.38 : x
  2. Step 2: Convert to fraction form
    22,803.03/31,468.10 = 12,731.38/x
  3. Step 3: Cross multiply
    22,803.03x = 31,468.10 × 12,731.38
  4. Step 4: Simplify right side
    22,803.03x = 400,632,196.65
  5. Step 5: Solve for x
    x = 400,632,196.65/22,803.03
  6. Step 6: Final answer
    x = 17,569.25

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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.