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Finding the Fourth Proportional to 17,880.74, 26,823.48 and 6,634.52

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Solution

The fourth proportional to 17,880.74, 26,823.48 and 6,634.52 is: 9,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.74 : 26,823.48 = 6,634.52 : x
  2. Step 2: Convert to fraction form
    17,880.74/26,823.48 = 6,634.52/x
  3. Step 3: Cross multiply
    17,880.74x = 26,823.48 × 6,634.52
  4. Step 4: Simplify right side
    17,880.74x = 177,960,914.53
  5. Step 5: Solve for x
    x = 177,960,914.53/17,880.74
  6. Step 6: Final answer
    x = 9,952.66

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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.