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Finding the Fourth Proportional to 26,438.48, 39,653.83 and 7,713.48

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Solution

The fourth proportional to 26,438.48, 39,653.83 and 7,713.48 is: 11,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,438.48 : 39,653.83 = 7,713.48 : x
  2. Step 2: Convert to fraction form
    26,438.48/39,653.83 = 7,713.48/x
  3. Step 3: Cross multiply
    26,438.48x = 39,653.83 × 7,713.48
  4. Step 4: Simplify right side
    26,438.48x = 305,869,024.63
  5. Step 5: Solve for x
    x = 305,869,024.63/26,438.48
  6. Step 6: Final answer
    x = 11,569.09

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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.