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Finding the Fourth Proportional to 26,289.66, 39,453.93 and 9,660

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Solution

The fourth proportional to 26,289.66, 39,453.93 and 9,660 is: 14,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,289.66 : 39,453.93 = 9,660 : x
  2. Step 2: Convert to fraction form
    26,289.66/39,453.93 = 9,660/x
  3. Step 3: Cross multiply
    26,289.66x = 39,453.93 × 9,660
  4. Step 4: Simplify right side
    26,289.66x = 381,124,963.80
  5. Step 5: Solve for x
    x = 381,124,963.80/26,289.66
  6. Step 6: Final answer
    x = 14,497.14

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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.