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Finding the Fourth Proportional to 26,361, 39,530.52 and 9,721.98

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Solution

The fourth proportional to 26,361, 39,530.52 and 9,721.98 is: 14,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,361 : 39,530.52 = 9,721.98 : x
  2. Step 2: Convert to fraction form
    26,361/39,530.52 = 9,721.98/x
  3. Step 3: Cross multiply
    26,361x = 39,530.52 × 9,721.98
  4. Step 4: Simplify right side
    26,361x = 384,314,924.83
  5. Step 5: Solve for x
    x = 384,314,924.83/26,361
  6. Step 6: Final answer
    x = 14,578.92

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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.