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Finding the Fourth Proportional to 26,246, 39,356.04 and 9,603.74

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Solution

The fourth proportional to 26,246, 39,356.04 and 9,603.74 is: 14,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,246 : 39,356.04 = 9,603.74 : x
  2. Step 2: Convert to fraction form
    26,246/39,356.04 = 9,603.74/x
  3. Step 3: Cross multiply
    26,246x = 39,356.04 × 9,603.74
  4. Step 4: Simplify right side
    26,246x = 377,965,175.59
  5. Step 5: Solve for x
    x = 377,965,175.59/26,246
  6. Step 6: Final answer
    x = 14,400.87

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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.