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Finding the Fourth Proportional to 17,640.16, 26,466 and 6,547.82

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Solution

The fourth proportional to 17,640.16, 26,466 and 6,547.82 is: 9,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.16 : 26,466 = 6,547.82 : x
  2. Step 2: Convert to fraction form
    17,640.16/26,466 = 6,547.82/x
  3. Step 3: Cross multiply
    17,640.16x = 26,466 × 6,547.82
  4. Step 4: Simplify right side
    17,640.16x = 173,294,604.12
  5. Step 5: Solve for x
    x = 173,294,604.12/17,640.16
  6. Step 6: Final answer
    x = 9,823.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.