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Finding the Fourth Proportional to 17,446.59, 26,155.17 and 7,578.50

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Solution

The fourth proportional to 17,446.59, 26,155.17 and 7,578.50 is: 11,361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446.59 : 26,155.17 = 7,578.50 : x
  2. Step 2: Convert to fraction form
    17,446.59/26,155.17 = 7,578.50/x
  3. Step 3: Cross multiply
    17,446.59x = 26,155.17 × 7,578.50
  4. Step 4: Simplify right side
    17,446.59x = 198,216,825.07
  5. Step 5: Solve for x
    x = 198,216,825.07/17,446.59
  6. Step 6: Final answer
    x = 11,361.35

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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.