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Finding the Fourth Proportional to 17,277.64, 25,895.11 and 8,952.86

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Solution

The fourth proportional to 17,277.64, 25,895.11 and 8,952.86 is: 13,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,277.64 : 25,895.11 = 8,952.86 : x
  2. Step 2: Convert to fraction form
    17,277.64/25,895.11 = 8,952.86/x
  3. Step 3: Cross multiply
    17,277.64x = 25,895.11 × 8,952.86
  4. Step 4: Simplify right side
    17,277.64x = 231,835,294.51
  5. Step 5: Solve for x
    x = 231,835,294.51/17,277.64
  6. Step 6: Final answer
    x = 13,418.23

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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.