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Finding the Fourth Proportional to 26,102.94, 39,154.41 and 6,381.48

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Solution

The fourth proportional to 26,102.94, 39,154.41 and 6,381.48 is: 9,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,102.94 : 39,154.41 = 6,381.48 : x
  2. Step 2: Convert to fraction form
    26,102.94/39,154.41 = 6,381.48/x
  3. Step 3: Cross multiply
    26,102.94x = 39,154.41 × 6,381.48
  4. Step 4: Simplify right side
    26,102.94x = 249,863,084.33
  5. Step 5: Solve for x
    x = 249,863,084.33/26,102.94
  6. Step 6: Final answer
    x = 9,572.22

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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.