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Finding the Fourth Proportional to 14,502.47, 21,763.43 and 9,311.99

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Solution

The fourth proportional to 14,502.47, 21,763.43 and 9,311.99 is: 13,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.47 : 21,763.43 = 9,311.99 : x
  2. Step 2: Convert to fraction form
    14,502.47/21,763.43 = 9,311.99/x
  3. Step 3: Cross multiply
    14,502.47x = 21,763.43 × 9,311.99
  4. Step 4: Simplify right side
    14,502.47x = 202,660,795.97
  5. Step 5: Solve for x
    x = 202,660,795.97/14,502.47
  6. Step 6: Final answer
    x = 13,974.23

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Why These Related Problems?

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