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Finding the Fourth Proportional to 34,410.84, 51,616.24 and 9,451.00

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Solution

The fourth proportional to 34,410.84, 51,616.24 and 9,451.00 is: 14,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,410.84 : 51,616.24 = 9,451.00 : x
  2. Step 2: Convert to fraction form
    34,410.84/51,616.24 = 9,451.00/x
  3. Step 3: Cross multiply
    34,410.84x = 51,616.24 × 9,451.00
  4. Step 4: Simplify right side
    34,410.84x = 487,824,834.79
  5. Step 5: Solve for x
    x = 487,824,834.79/34,410.84
  6. Step 6: Final answer
    x = 14,176.49

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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.