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Finding the Fourth Proportional to 14,311.30, 21,454.17 and 7,287.40

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Solution

The fourth proportional to 14,311.30, 21,454.17 and 7,287.40 is: 10,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.30 : 21,454.17 = 7,287.40 : x
  2. Step 2: Convert to fraction form
    14,311.30/21,454.17 = 7,287.40/x
  3. Step 3: Cross multiply
    14,311.30x = 21,454.17 × 7,287.40
  4. Step 4: Simplify right side
    14,311.30x = 156,345,118.46
  5. Step 5: Solve for x
    x = 156,345,118.46/14,311.30
  6. Step 6: Final answer
    x = 10,924.59

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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.