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Finding the Fourth Proportional to 22,777.88, 31,433.72 and 12,706.24

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Solution

The fourth proportional to 22,777.88, 31,433.72 and 12,706.24 is: 17,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.88 : 31,433.72 = 12,706.24 : x
  2. Step 2: Convert to fraction form
    22,777.88/31,433.72 = 12,706.24/x
  3. Step 3: Cross multiply
    22,777.88x = 31,433.72 × 12,706.24
  4. Step 4: Simplify right side
    22,777.88x = 399,404,390.41
  5. Step 5: Solve for x
    x = 399,404,390.41/22,777.88
  6. Step 6: Final answer
    x = 17,534.75

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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.