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Finding the Fourth Proportional to 26,557.26, 39,830.41 and 9,914.19

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Solution

The fourth proportional to 26,557.26, 39,830.41 and 9,914.19 is: 14,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,557.26 : 39,830.41 = 9,914.19 : x
  2. Step 2: Convert to fraction form
    26,557.26/39,830.41 = 9,914.19/x
  3. Step 3: Cross multiply
    26,557.26x = 39,830.41 × 9,914.19
  4. Step 4: Simplify right side
    26,557.26x = 394,886,252.52
  5. Step 5: Solve for x
    x = 394,886,252.52/26,557.26
  6. Step 6: Final answer
    x = 14,869.24

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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.