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Finding the Fourth Proportional to 27,151.40, 40,728.36 and 9,623

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Solution

The fourth proportional to 27,151.40, 40,728.36 and 9,623 is: 14,434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,151.40 : 40,728.36 = 9,623 : x
  2. Step 2: Convert to fraction form
    27,151.40/40,728.36 = 9,623/x
  3. Step 3: Cross multiply
    27,151.40x = 40,728.36 × 9,623
  4. Step 4: Simplify right side
    27,151.40x = 391,929,008.28
  5. Step 5: Solve for x
    x = 391,929,008.28/27,151.40
  6. Step 6: Final answer
    x = 14,434.95

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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.