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Finding the Fourth Proportional to 22,853.98, 34,278.81 and 7,268.86

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Solution

The fourth proportional to 22,853.98, 34,278.81 and 7,268.86 is: 10,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.98 : 34,278.81 = 7,268.86 : x
  2. Step 2: Convert to fraction form
    22,853.98/34,278.81 = 7,268.86/x
  3. Step 3: Cross multiply
    22,853.98x = 34,278.81 × 7,268.86
  4. Step 4: Simplify right side
    22,853.98x = 249,167,870.86
  5. Step 5: Solve for x
    x = 249,167,870.86/22,853.98
  6. Step 6: Final answer
    x = 10,902.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.