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Finding the Fourth Proportional to 27,894.65, 41,838.32 and 12,308.63

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Solution

The fourth proportional to 27,894.65, 41,838.32 and 12,308.63 is: 18,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.65 : 41,838.32 = 12,308.63 : x
  2. Step 2: Convert to fraction form
    27,894.65/41,838.32 = 12,308.63/x
  3. Step 3: Cross multiply
    27,894.65x = 41,838.32 × 12,308.63
  4. Step 4: Simplify right side
    27,894.65x = 514,972,222.28
  5. Step 5: Solve for x
    x = 514,972,222.28/27,894.65
  6. Step 6: Final answer
    x = 18,461.33

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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.