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Finding the Fourth Proportional to 22,215.68, 30,657.84 and 12,783.68

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Solution

The fourth proportional to 22,215.68, 30,657.84 and 12,783.68 is: 17,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,215.68 : 30,657.84 = 12,783.68 : x
  2. Step 2: Convert to fraction form
    22,215.68/30,657.84 = 12,783.68/x
  3. Step 3: Cross multiply
    22,215.68x = 30,657.84 × 12,783.68
  4. Step 4: Simplify right side
    22,215.68x = 391,920,016.05
  5. Step 5: Solve for x
    x = 391,920,016.05/22,215.68
  6. Step 6: Final answer
    x = 17,641.59

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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.