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Finding the Fourth Proportional to 17,639.16, 26,458.74 and 8,403

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Solution

The fourth proportional to 17,639.16, 26,458.74 and 8,403 is: 12,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639.16 : 26,458.74 = 8,403 : x
  2. Step 2: Convert to fraction form
    17,639.16/26,458.74 = 8,403/x
  3. Step 3: Cross multiply
    17,639.16x = 26,458.74 × 8,403
  4. Step 4: Simplify right side
    17,639.16x = 222,332,792.22
  5. Step 5: Solve for x
    x = 222,332,792.22/17,639.16
  6. Step 6: Final answer
    x = 12,604.50

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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.