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Finding the Fourth Proportional to 27,668.61, 41,492.73 and 9,894.48

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Solution

The fourth proportional to 27,668.61, 41,492.73 and 9,894.48 is: 14,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668.61 : 41,492.73 = 9,894.48 : x
  2. Step 2: Convert to fraction form
    27,668.61/41,492.73 = 9,894.48/x
  3. Step 3: Cross multiply
    27,668.61x = 41,492.73 × 9,894.48
  4. Step 4: Simplify right side
    27,668.61x = 410,548,987.13
  5. Step 5: Solve for x
    x = 410,548,987.13/27,668.61
  6. Step 6: Final answer
    x = 14,838.08

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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.