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Finding the Fourth Proportional to 22,742.88, 34,119 and 9,595.32

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Solution

The fourth proportional to 22,742.88, 34,119 and 9,595.32 is: 14,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742.88 : 34,119 = 9,595.32 : x
  2. Step 2: Convert to fraction form
    22,742.88/34,119 = 9,595.32/x
  3. Step 3: Cross multiply
    22,742.88x = 34,119 × 9,595.32
  4. Step 4: Simplify right side
    22,742.88x = 327,382,723.08
  5. Step 5: Solve for x
    x = 327,382,723.08/22,742.88
  6. Step 6: Final answer
    x = 14,394.95

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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.