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Finding the Fourth Proportional to 11,656.32, 17,497.44 and 11,474.88

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Solution

The fourth proportional to 11,656.32, 17,497.44 and 11,474.88 is: 17,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.32 : 17,497.44 = 11,474.88 : x
  2. Step 2: Convert to fraction form
    11,656.32/17,497.44 = 11,474.88/x
  3. Step 3: Cross multiply
    11,656.32x = 17,497.44 × 11,474.88
  4. Step 4: Simplify right side
    11,656.32x = 200,781,024.31
  5. Step 5: Solve for x
    x = 200,781,024.31/11,656.32
  6. Step 6: Final answer
    x = 17,225.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.