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Finding the Fourth Proportional to 27,866.34, 41,798.04 and 9,143.91

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Solution

The fourth proportional to 27,866.34, 41,798.04 and 9,143.91 is: 13,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866.34 : 41,798.04 = 9,143.91 : x
  2. Step 2: Convert to fraction form
    27,866.34/41,798.04 = 9,143.91/x
  3. Step 3: Cross multiply
    27,866.34x = 41,798.04 × 9,143.91
  4. Step 4: Simplify right side
    27,866.34x = 382,197,515.94
  5. Step 5: Solve for x
    x = 382,197,515.94/27,866.34
  6. Step 6: Final answer
    x = 13,715.38

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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.