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Finding the Fourth Proportional to 26,574.48, 39,868.26 and 7,854.42

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Solution

The fourth proportional to 26,574.48, 39,868.26 and 7,854.42 is: 11,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,574.48 : 39,868.26 = 7,854.42 : x
  2. Step 2: Convert to fraction form
    26,574.48/39,868.26 = 7,854.42/x
  3. Step 3: Cross multiply
    26,574.48x = 39,868.26 × 7,854.42
  4. Step 4: Simplify right side
    26,574.48x = 313,142,058.71
  5. Step 5: Solve for x
    x = 313,142,058.71/26,574.48
  6. Step 6: Final answer
    x = 11,783.56

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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.