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Finding the Fourth Proportional to 11,656.25, 17,484.50 and 9,331.04

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Solution

The fourth proportional to 11,656.25, 17,484.50 and 9,331.04 is: 13,996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.25 : 17,484.50 = 9,331.04 : x
  2. Step 2: Convert to fraction form
    11,656.25/17,484.50 = 9,331.04/x
  3. Step 3: Cross multiply
    11,656.25x = 17,484.50 × 9,331.04
  4. Step 4: Simplify right side
    11,656.25x = 163,148,568.88
  5. Step 5: Solve for x
    x = 163,148,568.88/11,656.25
  6. Step 6: Final answer
    x = 13,996.66

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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.