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Finding the Fourth Proportional to 22,731.64, 31,379.36 and 15,283.96

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Solution

The fourth proportional to 22,731.64, 31,379.36 and 15,283.96 is: 21,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731.64 : 31,379.36 = 15,283.96 : x
  2. Step 2: Convert to fraction form
    22,731.64/31,379.36 = 15,283.96/x
  3. Step 3: Cross multiply
    22,731.64x = 31,379.36 × 15,283.96
  4. Step 4: Simplify right side
    22,731.64x = 479,600,883.07
  5. Step 5: Solve for x
    x = 479,600,883.07/22,731.64
  6. Step 6: Final answer
    x = 21,098.38

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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.