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Finding the Fourth Proportional to 12,695.27, 17,515.24 and 8,224.74

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Solution

The fourth proportional to 12,695.27, 17,515.24 and 8,224.74 is: 11,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,695.27 : 17,515.24 = 8,224.74 : x
  2. Step 2: Convert to fraction form
    12,695.27/17,515.24 = 8,224.74/x
  3. Step 3: Cross multiply
    12,695.27x = 17,515.24 × 8,224.74
  4. Step 4: Simplify right side
    12,695.27x = 144,058,274.48
  5. Step 5: Solve for x
    x = 144,058,274.48/12,695.27
  6. Step 6: Final answer
    x = 11,347.40

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