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Finding the Fourth Proportional to 35,217.66, 52,828.41 and 8,922.63

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Solution

The fourth proportional to 35,217.66, 52,828.41 and 8,922.63 is: 13,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,217.66 : 52,828.41 = 8,922.63 : x
  2. Step 2: Convert to fraction form
    35,217.66/52,828.41 = 8,922.63/x
  3. Step 3: Cross multiply
    35,217.66x = 52,828.41 × 8,922.63
  4. Step 4: Simplify right side
    35,217.66x = 471,368,355.92
  5. Step 5: Solve for x
    x = 471,368,355.92/35,217.66
  6. Step 6: Final answer
    x = 13,384.43

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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.