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Finding the Fourth Proportional to 14,744, 22,064.05 and 9,199.95

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Solution

The fourth proportional to 14,744, 22,064.05 and 9,199.95 is: 13,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744 : 22,064.05 = 9,199.95 : x
  2. Step 2: Convert to fraction form
    14,744/22,064.05 = 9,199.95/x
  3. Step 3: Cross multiply
    14,744x = 22,064.05 × 9,199.95
  4. Step 4: Simplify right side
    14,744x = 202,988,156.80
  5. Step 5: Solve for x
    x = 202,988,156.80/14,744
  6. Step 6: Final answer
    x = 13,767.51

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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.