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Finding the Fourth Proportional to 17,237.24, 25,834.95 and 7,864.41

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Solution

The fourth proportional to 17,237.24, 25,834.95 and 7,864.41 is: 11,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,237.24 : 25,834.95 = 7,864.41 : x
  2. Step 2: Convert to fraction form
    17,237.24/25,834.95 = 7,864.41/x
  3. Step 3: Cross multiply
    17,237.24x = 25,834.95 × 7,864.41
  4. Step 4: Simplify right side
    17,237.24x = 203,176,639.13
  5. Step 5: Solve for x
    x = 203,176,639.13/17,237.24
  6. Step 6: Final answer
    x = 11,787.08

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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.