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Finding the Fourth Proportional to 22,770.95, 31,443.74 and 14,287.65

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Solution

The fourth proportional to 22,770.95, 31,443.74 and 14,287.65 is: 19,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.95 : 31,443.74 = 14,287.65 : x
  2. Step 2: Convert to fraction form
    22,770.95/31,443.74 = 14,287.65/x
  3. Step 3: Cross multiply
    22,770.95x = 31,443.74 × 14,287.65
  4. Step 4: Simplify right side
    22,770.95x = 449,257,080.37
  5. Step 5: Solve for x
    x = 449,257,080.37/22,770.95
  6. Step 6: Final answer
    x = 19,729.40

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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.