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Finding the Fourth Proportional to 18,134.36, 27,206.62 and 6,448.76

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Solution

The fourth proportional to 18,134.36, 27,206.62 and 6,448.76 is: 9,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,134.36 : 27,206.62 = 6,448.76 : x
  2. Step 2: Convert to fraction form
    18,134.36/27,206.62 = 6,448.76/x
  3. Step 3: Cross multiply
    18,134.36x = 27,206.62 × 6,448.76
  4. Step 4: Simplify right side
    18,134.36x = 175,448,962.79
  5. Step 5: Solve for x
    x = 175,448,962.79/18,134.36
  6. Step 6: Final answer
    x = 9,674.95

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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.