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Finding the Fourth Proportional to 22,507.38, 31,061.64 and 12,435.82

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Solution

The fourth proportional to 22,507.38, 31,061.64 and 12,435.82 is: 17,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.38 : 31,061.64 = 12,435.82 : x
  2. Step 2: Convert to fraction form
    22,507.38/31,061.64 = 12,435.82/x
  3. Step 3: Cross multiply
    22,507.38x = 31,061.64 × 12,435.82
  4. Step 4: Simplify right side
    22,507.38x = 386,276,932.93
  5. Step 5: Solve for x
    x = 386,276,932.93/22,507.38
  6. Step 6: Final answer
    x = 17,162.23

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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.