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Finding the Fourth Proportional to 17,626.17, 24,325.67 and 9,669.95

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Solution

The fourth proportional to 17,626.17, 24,325.67 and 9,669.95 is: 13,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,626.17 : 24,325.67 = 9,669.95 : x
  2. Step 2: Convert to fraction form
    17,626.17/24,325.67 = 9,669.95/x
  3. Step 3: Cross multiply
    17,626.17x = 24,325.67 × 9,669.95
  4. Step 4: Simplify right side
    17,626.17x = 235,227,915.16
  5. Step 5: Solve for x
    x = 235,227,915.16/17,626.17
  6. Step 6: Final answer
    x = 13,345.38

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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.