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Finding the Fourth Proportional to 18,117.41, 27,172.94 and 4,966.65

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Solution

The fourth proportional to 18,117.41, 27,172.94 and 4,966.65 is: 7,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,117.41 : 27,172.94 = 4,966.65 : x
  2. Step 2: Convert to fraction form
    18,117.41/27,172.94 = 4,966.65/x
  3. Step 3: Cross multiply
    18,117.41x = 27,172.94 × 4,966.65
  4. Step 4: Simplify right side
    18,117.41x = 134,958,457.62
  5. Step 5: Solve for x
    x = 134,958,457.62/18,117.41
  6. Step 6: Final answer
    x = 7,449.11

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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.