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Finding the Fourth Proportional to 15,895.73, 21,935.90 and 8,822

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Solution

The fourth proportional to 15,895.73, 21,935.90 and 8,822 is: 12,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,895.73 : 21,935.90 = 8,822 : x
  2. Step 2: Convert to fraction form
    15,895.73/21,935.90 = 8,822/x
  3. Step 3: Cross multiply
    15,895.73x = 21,935.90 × 8,822
  4. Step 4: Simplify right side
    15,895.73x = 193,518,465.69
  5. Step 5: Solve for x
    x = 193,518,465.69/15,895.73
  6. Step 6: Final answer
    x = 12,174.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.