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Finding the Fourth Proportional to 26,661.74, 39,984.24 and 9,127.46

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Solution

The fourth proportional to 26,661.74, 39,984.24 and 9,127.46 is: 13,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,661.74 : 39,984.24 = 9,127.46 : x
  2. Step 2: Convert to fraction form
    26,661.74/39,984.24 = 9,127.46/x
  3. Step 3: Cross multiply
    26,661.74x = 39,984.24 × 9,127.46
  4. Step 4: Simplify right side
    26,661.74x = 364,954,551.23
  5. Step 5: Solve for x
    x = 364,954,551.23/26,661.74
  6. Step 6: Final answer
    x = 13,688.32

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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.