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Finding the Fourth Proportional to 27,803.52, 41,712 and 9,336.96

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Solution

The fourth proportional to 27,803.52, 41,712 and 9,336.96 is: 14,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.52 : 41,712 = 9,336.96 : x
  2. Step 2: Convert to fraction form
    27,803.52/41,712 = 9,336.96/x
  3. Step 3: Cross multiply
    27,803.52x = 41,712 × 9,336.96
  4. Step 4: Simplify right side
    27,803.52x = 389,463,275.52
  5. Step 5: Solve for x
    x = 389,463,275.52/27,803.52
  6. Step 6: Final answer
    x = 14,007.70

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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.