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Finding the Fourth Proportional to 26,548.21, 39,822.63 and 9,019.41

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Solution

The fourth proportional to 26,548.21, 39,822.63 and 9,019.41 is: 13,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,548.21 : 39,822.63 = 9,019.41 : x
  2. Step 2: Convert to fraction form
    26,548.21/39,822.63 = 9,019.41/x
  3. Step 3: Cross multiply
    26,548.21x = 39,822.63 × 9,019.41
  4. Step 4: Simplify right side
    26,548.21x = 359,176,627.25
  5. Step 5: Solve for x
    x = 359,176,627.25/26,548.21
  6. Step 6: Final answer
    x = 13,529.22

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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.