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Finding the Fourth Proportional to 26,156.94, 39,223.13 and 9,505.23

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Solution

The fourth proportional to 26,156.94, 39,223.13 and 9,505.23 is: 14,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,156.94 : 39,223.13 = 9,505.23 : x
  2. Step 2: Convert to fraction form
    26,156.94/39,223.13 = 9,505.23/x
  3. Step 3: Cross multiply
    26,156.94x = 39,223.13 × 9,505.23
  4. Step 4: Simplify right side
    26,156.94x = 372,824,824.44
  5. Step 5: Solve for x
    x = 372,824,824.44/26,156.94
  6. Step 6: Final answer
    x = 14,253.38

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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.