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Finding the Fourth Proportional to 34,412.28, 51,616.54 and 9,451.84

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Solution

The fourth proportional to 34,412.28, 51,616.54 and 9,451.84 is: 14,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,412.28 : 51,616.54 = 9,451.84 : x
  2. Step 2: Convert to fraction form
    34,412.28/51,616.54 = 9,451.84/x
  3. Step 3: Cross multiply
    34,412.28x = 51,616.54 × 9,451.84
  4. Step 4: Simplify right side
    34,412.28x = 487,871,277.43
  5. Step 5: Solve for x
    x = 487,871,277.43/34,412.28
  6. Step 6: Final answer
    x = 14,177.24

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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.