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Finding the Fourth Proportional to 14,288.38, 19,718.67 and 8,623.04

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Solution

The fourth proportional to 14,288.38, 19,718.67 and 8,623.04 is: 11,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.38 : 19,718.67 = 8,623.04 : x
  2. Step 2: Convert to fraction form
    14,288.38/19,718.67 = 8,623.04/x
  3. Step 3: Cross multiply
    14,288.38x = 19,718.67 × 8,623.04
  4. Step 4: Simplify right side
    14,288.38x = 170,034,765.40
  5. Step 5: Solve for x
    x = 170,034,765.40/14,288.38
  6. Step 6: Final answer
    x = 11,900.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.