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Finding the Fourth Proportional to 26,400.32, 39,603.08 and 7,680.54

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Solution

The fourth proportional to 26,400.32, 39,603.08 and 7,680.54 is: 11,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,400.32 : 39,603.08 = 7,680.54 : x
  2. Step 2: Convert to fraction form
    26,400.32/39,603.08 = 7,680.54/x
  3. Step 3: Cross multiply
    26,400.32x = 39,603.08 × 7,680.54
  4. Step 4: Simplify right side
    26,400.32x = 304,173,040.06
  5. Step 5: Solve for x
    x = 304,173,040.06/26,400.32
  6. Step 6: Final answer
    x = 11,521.57

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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.