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Finding the Fourth Proportional to 22,830.48, 31,505.76 and 12,759.84

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Solution

The fourth proportional to 22,830.48, 31,505.76 and 12,759.84 is: 17,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.48 : 31,505.76 = 12,759.84 : x
  2. Step 2: Convert to fraction form
    22,830.48/31,505.76 = 12,759.84/x
  3. Step 3: Cross multiply
    22,830.48x = 31,505.76 × 12,759.84
  4. Step 4: Simplify right side
    22,830.48x = 402,008,456.68
  5. Step 5: Solve for x
    x = 402,008,456.68/22,830.48
  6. Step 6: Final answer
    x = 17,608.41

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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.