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Finding the Fourth Proportional to 12,253.36, 18,386.12 and 4,857.65

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Solution

The fourth proportional to 12,253.36, 18,386.12 and 4,857.65 is: 7,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.36 : 18,386.12 = 4,857.65 : x
  2. Step 2: Convert to fraction form
    12,253.36/18,386.12 = 4,857.65/x
  3. Step 3: Cross multiply
    12,253.36x = 18,386.12 × 4,857.65
  4. Step 4: Simplify right side
    12,253.36x = 89,313,357.50
  5. Step 5: Solve for x
    x = 89,313,357.50/12,253.36
  6. Step 6: Final answer
    x = 7,288.89

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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.