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Finding the Fourth Proportional to 17,996.16, 24,827.04 and 11,277.20

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Solution

The fourth proportional to 17,996.16, 24,827.04 and 11,277.20 is: 15,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,996.16 : 24,827.04 = 11,277.20 : x
  2. Step 2: Convert to fraction form
    17,996.16/24,827.04 = 11,277.20/x
  3. Step 3: Cross multiply
    17,996.16x = 24,827.04 × 11,277.20
  4. Step 4: Simplify right side
    17,996.16x = 279,979,495.49
  5. Step 5: Solve for x
    x = 279,979,495.49/17,996.16
  6. Step 6: Final answer
    x = 15,557.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.