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Finding the Fourth Proportional to 27,466.64, 41,205.96 and 9,934.64

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Solution

The fourth proportional to 27,466.64, 41,205.96 and 9,934.64 is: 14,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,466.64 : 41,205.96 = 9,934.64 : x
  2. Step 2: Convert to fraction form
    27,466.64/41,205.96 = 9,934.64/x
  3. Step 3: Cross multiply
    27,466.64x = 41,205.96 × 9,934.64
  4. Step 4: Simplify right side
    27,466.64x = 409,366,378.45
  5. Step 5: Solve for x
    x = 409,366,378.45/27,466.64
  6. Step 6: Final answer
    x = 14,904.13

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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.