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Finding the Fourth Proportional to 26,381.16, 39,571.42 and 7,913

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Solution

The fourth proportional to 26,381.16, 39,571.42 and 7,913 is: 11,869.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,381.16 : 39,571.42 = 7,913 : x
  2. Step 2: Convert to fraction form
    26,381.16/39,571.42 = 7,913/x
  3. Step 3: Cross multiply
    26,381.16x = 39,571.42 × 7,913
  4. Step 4: Simplify right side
    26,381.16x = 313,128,646.46
  5. Step 5: Solve for x
    x = 313,128,646.46/26,381.16
  6. Step 6: Final answer
    x = 11,869.40

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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.