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Finding the Fourth Proportional to 22,214.92, 30,657.51 and 12,783.52

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Solution

The fourth proportional to 22,214.92, 30,657.51 and 12,783.52 is: 17,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,214.92 : 30,657.51 = 12,783.52 : x
  2. Step 2: Convert to fraction form
    22,214.92/30,657.51 = 12,783.52/x
  3. Step 3: Cross multiply
    22,214.92x = 30,657.51 × 12,783.52
  4. Step 4: Simplify right side
    22,214.92x = 391,910,892.24
  5. Step 5: Solve for x
    x = 391,910,892.24/22,214.92
  6. Step 6: Final answer
    x = 17,641.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.