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Finding the Fourth Proportional to 26,916.23, 40,373.99 and 9,386

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Solution

The fourth proportional to 26,916.23, 40,373.99 and 9,386 is: 14,078.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,916.23 : 40,373.99 = 9,386 : x
  2. Step 2: Convert to fraction form
    26,916.23/40,373.99 = 9,386/x
  3. Step 3: Cross multiply
    26,916.23x = 40,373.99 × 9,386
  4. Step 4: Simplify right side
    26,916.23x = 378,950,223.21
  5. Step 5: Solve for x
    x = 378,950,223.21/26,916.23
  6. Step 6: Final answer
    x = 14,078.87

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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.