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Finding the Fourth Proportional to 26,356.13, 39,524.67 and 10,564.77

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Solution

The fourth proportional to 26,356.13, 39,524.67 and 10,564.77 is: 15,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,356.13 : 39,524.67 = 10,564.77 : x
  2. Step 2: Convert to fraction form
    26,356.13/39,524.67 = 10,564.77/x
  3. Step 3: Cross multiply
    26,356.13x = 39,524.67 × 10,564.77
  4. Step 4: Simplify right side
    26,356.13x = 417,569,047.88
  5. Step 5: Solve for x
    x = 417,569,047.88/26,356.13
  6. Step 6: Final answer
    x = 15,843.34

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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.