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Finding the Fourth Proportional to 25,218, 37,834.68 and 8,802

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Solution

The fourth proportional to 25,218, 37,834.68 and 8,802 is: 13,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,218 : 37,834.68 = 8,802 : x
  2. Step 2: Convert to fraction form
    25,218/37,834.68 = 8,802/x
  3. Step 3: Cross multiply
    25,218x = 37,834.68 × 8,802
  4. Step 4: Simplify right side
    25,218x = 333,020,853.36
  5. Step 5: Solve for x
    x = 333,020,853.36/25,218
  6. Step 6: Final answer
    x = 13,205.68

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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.