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Finding the Fourth Proportional to 17,754, 26,631.21 and 4,605.57

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Solution

The fourth proportional to 17,754, 26,631.21 and 4,605.57 is: 6,908.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754 : 26,631.21 = 4,605.57 : x
  2. Step 2: Convert to fraction form
    17,754/26,631.21 = 4,605.57/x
  3. Step 3: Cross multiply
    17,754x = 26,631.21 × 4,605.57
  4. Step 4: Simplify right side
    17,754x = 122,651,901.84
  5. Step 5: Solve for x
    x = 122,651,901.84/17,754
  6. Step 6: Final answer
    x = 6,908.41

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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.