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Finding the Fourth Proportional to 22,843.59, 31,525.67 and 12,773.84

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Solution

The fourth proportional to 22,843.59, 31,525.67 and 12,773.84 is: 17,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843.59 : 31,525.67 = 12,773.84 : x
  2. Step 2: Convert to fraction form
    22,843.59/31,525.67 = 12,773.84/x
  3. Step 3: Cross multiply
    22,843.59x = 31,525.67 × 12,773.84
  4. Step 4: Simplify right side
    22,843.59x = 402,703,738.78
  5. Step 5: Solve for x
    x = 402,703,738.78/22,843.59
  6. Step 6: Final answer
    x = 17,628.74

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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.