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Finding the Fourth Proportional to 22,838.55, 31,517.90 and 12,767.42

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Solution

The fourth proportional to 22,838.55, 31,517.90 and 12,767.42 is: 17,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.55 : 31,517.90 = 12,767.42 : x
  2. Step 2: Convert to fraction form
    22,838.55/31,517.90 = 12,767.42/x
  3. Step 3: Cross multiply
    22,838.55x = 31,517.90 × 12,767.42
  4. Step 4: Simplify right side
    22,838.55x = 402,402,152.37
  5. Step 5: Solve for x
    x = 402,402,152.37/22,838.55
  6. Step 6: Final answer
    x = 17,619.43

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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.