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Finding the Fourth Proportional to 26,322.25, 39,490.22 and 7,854.25

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Solution

The fourth proportional to 26,322.25, 39,490.22 and 7,854.25 is: 11,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,322.25 : 39,490.22 = 7,854.25 : x
  2. Step 2: Convert to fraction form
    26,322.25/39,490.22 = 7,854.25/x
  3. Step 3: Cross multiply
    26,322.25x = 39,490.22 × 7,854.25
  4. Step 4: Simplify right side
    26,322.25x = 310,166,021.16
  5. Step 5: Solve for x
    x = 310,166,021.16/26,322.25
  6. Step 6: Final answer
    x = 11,783.42

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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.