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Finding the Fourth Proportional to 22,281.89, 30,739.12 and 14,322.63

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Solution

The fourth proportional to 22,281.89, 30,739.12 and 14,322.63 is: 19,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,281.89 : 30,739.12 = 14,322.63 : x
  2. Step 2: Convert to fraction form
    22,281.89/30,739.12 = 14,322.63/x
  3. Step 3: Cross multiply
    22,281.89x = 30,739.12 × 14,322.63
  4. Step 4: Simplify right side
    22,281.89x = 440,265,042.29
  5. Step 5: Solve for x
    x = 440,265,042.29/22,281.89
  6. Step 6: Final answer
    x = 19,758.87

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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.