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Finding the Fourth Proportional to 25,846.26, 38,769.54 and 9,206.93

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Solution

The fourth proportional to 25,846.26, 38,769.54 and 9,206.93 is: 13,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,846.26 : 38,769.54 = 9,206.93 : x
  2. Step 2: Convert to fraction form
    25,846.26/38,769.54 = 9,206.93/x
  3. Step 3: Cross multiply
    25,846.26x = 38,769.54 × 9,206.93
  4. Step 4: Simplify right side
    25,846.26x = 356,948,503.31
  5. Step 5: Solve for x
    x = 356,948,503.31/25,846.26
  6. Step 6: Final answer
    x = 13,810.45

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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.