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Finding the Fourth Proportional to 42,744.84, 64,122.12 and 14,667

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Solution

The fourth proportional to 42,744.84, 64,122.12 and 14,667 is: 22,002.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,744.84 : 64,122.12 = 14,667 : x
  2. Step 2: Convert to fraction form
    42,744.84/64,122.12 = 14,667/x
  3. Step 3: Cross multiply
    42,744.84x = 64,122.12 × 14,667
  4. Step 4: Simplify right side
    42,744.84x = 940,479,134.04
  5. Step 5: Solve for x
    x = 940,479,134.04/42,744.84
  6. Step 6: Final answer
    x = 22,002.17

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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.