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Finding the Fourth Proportional to 22,778.38, 31,435.62 and 12,708.34

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Solution

The fourth proportional to 22,778.38, 31,435.62 and 12,708.34 is: 17,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.38 : 31,435.62 = 12,708.34 : x
  2. Step 2: Convert to fraction form
    22,778.38/31,435.62 = 12,708.34/x
  3. Step 3: Cross multiply
    22,778.38x = 31,435.62 × 12,708.34
  4. Step 4: Simplify right side
    22,778.38x = 399,494,547.07
  5. Step 5: Solve for x
    x = 399,494,547.07/22,778.38
  6. Step 6: Final answer
    x = 17,538.32

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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.