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Finding the Fourth Proportional to 11,656.79, 17,485.30 and 9,331.57

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Solution

The fourth proportional to 11,656.79, 17,485.30 and 9,331.57 is: 13,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.79 : 17,485.30 = 9,331.57 : x
  2. Step 2: Convert to fraction form
    11,656.79/17,485.30 = 9,331.57/x
  3. Step 3: Cross multiply
    11,656.79x = 17,485.30 × 9,331.57
  4. Step 4: Simplify right side
    11,656.79x = 163,165,300.92
  5. Step 5: Solve for x
    x = 163,165,300.92/11,656.79
  6. Step 6: Final answer
    x = 13,997.45

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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.