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Finding the Fourth Proportional to 26,548.05, 39,822.38 and 9,019.25

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Solution

The fourth proportional to 26,548.05, 39,822.38 and 9,019.25 is: 13,528.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,548.05 : 39,822.38 = 9,019.25 : x
  2. Step 2: Convert to fraction form
    26,548.05/39,822.38 = 9,019.25/x
  3. Step 3: Cross multiply
    26,548.05x = 39,822.38 × 9,019.25
  4. Step 4: Simplify right side
    26,548.05x = 359,167,990.50
  5. Step 5: Solve for x
    x = 359,167,990.50/26,548.05
  6. Step 6: Final answer
    x = 13,528.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.