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Finding the Fourth Proportional to 26,377.94, 39,570.81 and 7,658.13

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Solution

The fourth proportional to 26,377.94, 39,570.81 and 7,658.13 is: 11,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,377.94 : 39,570.81 = 7,658.13 : x
  2. Step 2: Convert to fraction form
    26,377.94/39,570.81 = 7,658.13/x
  3. Step 3: Cross multiply
    26,377.94x = 39,570.81 × 7,658.13
  4. Step 4: Simplify right side
    26,377.94x = 303,038,209.33
  5. Step 5: Solve for x
    x = 303,038,209.33/26,377.94
  6. Step 6: Final answer
    x = 11,488.32

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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.