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Finding the Fourth Proportional to 20,045.32, 30,067.35 and 9,522.91

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Solution

The fourth proportional to 20,045.32, 30,067.35 and 9,522.91 is: 14,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.32 : 30,067.35 = 9,522.91 : x
  2. Step 2: Convert to fraction form
    20,045.32/30,067.35 = 9,522.91/x
  3. Step 3: Cross multiply
    20,045.32x = 30,067.35 × 9,522.91
  4. Step 4: Simplify right side
    20,045.32x = 286,328,470.04
  5. Step 5: Solve for x
    x = 286,328,470.04/20,045.32
  6. Step 6: Final answer
    x = 14,284.06

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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.