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Finding the Fourth Proportional to 22,308.90, 30,792.90 and 12,883.74

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Solution

The fourth proportional to 22,308.90, 30,792.90 and 12,883.74 is: 17,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308.90 : 30,792.90 = 12,883.74 : x
  2. Step 2: Convert to fraction form
    22,308.90/30,792.90 = 12,883.74/x
  3. Step 3: Cross multiply
    22,308.90x = 30,792.90 × 12,883.74
  4. Step 4: Simplify right side
    22,308.90x = 396,727,717.45
  5. Step 5: Solve for x
    x = 396,727,717.45/22,308.90
  6. Step 6: Final answer
    x = 17,783.38

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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.