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Finding the Fourth Proportional to 15,736.26, 21,715.39 and 9,017.21

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Solution

The fourth proportional to 15,736.26, 21,715.39 and 9,017.21 is: 12,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736.26 : 21,715.39 = 9,017.21 : x
  2. Step 2: Convert to fraction form
    15,736.26/21,715.39 = 9,017.21/x
  3. Step 3: Cross multiply
    15,736.26x = 21,715.39 × 9,017.21
  4. Step 4: Simplify right side
    15,736.26x = 195,812,263.61
  5. Step 5: Solve for x
    x = 195,812,263.61/15,736.26
  6. Step 6: Final answer
    x = 12,443.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.