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Finding the Fourth Proportional to 12,415.98, 17,135.72 and 11,232.27

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Solution

The fourth proportional to 12,415.98, 17,135.72 and 11,232.27 is: 15,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.98 : 17,135.72 = 11,232.27 : x
  2. Step 2: Convert to fraction form
    12,415.98/17,135.72 = 11,232.27/x
  3. Step 3: Cross multiply
    12,415.98x = 17,135.72 × 11,232.27
  4. Step 4: Simplify right side
    12,415.98x = 192,473,019.64
  5. Step 5: Solve for x
    x = 192,473,019.64/12,415.98
  6. Step 6: Final answer
    x = 15,502.04

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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.