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Finding the Fourth Proportional to 11,506.32, 17,237.25 and 9,635.22

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Solution

The fourth proportional to 11,506.32, 17,237.25 and 9,635.22 is: 14,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.32 : 17,237.25 = 9,635.22 : x
  2. Step 2: Convert to fraction form
    11,506.32/17,237.25 = 9,635.22/x
  3. Step 3: Cross multiply
    11,506.32x = 17,237.25 × 9,635.22
  4. Step 4: Simplify right side
    11,506.32x = 166,084,695.95
  5. Step 5: Solve for x
    x = 166,084,695.95/11,506.32
  6. Step 6: Final answer
    x = 14,434.21

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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.