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Finding the Fourth Proportional to 22,849.45, 31,532.03 and 12,777.78

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Solution

The fourth proportional to 22,849.45, 31,532.03 and 12,777.78 is: 17,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,849.45 : 31,532.03 = 12,777.78 : x
  2. Step 2: Convert to fraction form
    22,849.45/31,532.03 = 12,777.78/x
  3. Step 3: Cross multiply
    22,849.45x = 31,532.03 × 12,777.78
  4. Step 4: Simplify right side
    22,849.45x = 402,909,120.74
  5. Step 5: Solve for x
    x = 402,909,120.74/22,849.45
  6. Step 6: Final answer
    x = 17,633.21

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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.