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Finding the Fourth Proportional to 27,434.64, 41,151.93 and 8,966.64

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Solution

The fourth proportional to 27,434.64, 41,151.93 and 8,966.64 is: 13,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,434.64 : 41,151.93 = 8,966.64 : x
  2. Step 2: Convert to fraction form
    27,434.64/41,151.93 = 8,966.64/x
  3. Step 3: Cross multiply
    27,434.64x = 41,151.93 × 8,966.64
  4. Step 4: Simplify right side
    27,434.64x = 368,994,541.62
  5. Step 5: Solve for x
    x = 368,994,541.62/27,434.64
  6. Step 6: Final answer
    x = 13,449.95

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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.