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Finding the Fourth Proportional to 14,643.24, 21,922.02 and 9,079.80

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Solution

The fourth proportional to 14,643.24, 21,922.02 and 9,079.80 is: 13,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.24 : 21,922.02 = 9,079.80 : x
  2. Step 2: Convert to fraction form
    14,643.24/21,922.02 = 9,079.80/x
  3. Step 3: Cross multiply
    14,643.24x = 21,922.02 × 9,079.80
  4. Step 4: Simplify right side
    14,643.24x = 199,047,557.20
  5. Step 5: Solve for x
    x = 199,047,557.20/14,643.24
  6. Step 6: Final answer
    x = 13,593.14

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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.