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Finding the Fourth Proportional to 26,544.42, 39,816.27 and 9,026.46

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Solution

The fourth proportional to 26,544.42, 39,816.27 and 9,026.46 is: 13,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,544.42 : 39,816.27 = 9,026.46 : x
  2. Step 2: Convert to fraction form
    26,544.42/39,816.27 = 9,026.46/x
  3. Step 3: Cross multiply
    26,544.42x = 39,816.27 × 9,026.46
  4. Step 4: Simplify right side
    26,544.42x = 359,399,968.50
  5. Step 5: Solve for x
    x = 359,399,968.50/26,544.42
  6. Step 6: Final answer
    x = 13,539.57

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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.