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Finding the Fourth Proportional to 11,548.60, 17,322.90 and 9,734.20

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Solution

The fourth proportional to 11,548.60, 17,322.90 and 9,734.20 is: 14,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.60 : 17,322.90 = 9,734.20 : x
  2. Step 2: Convert to fraction form
    11,548.60/17,322.90 = 9,734.20/x
  3. Step 3: Cross multiply
    11,548.60x = 17,322.90 × 9,734.20
  4. Step 4: Simplify right side
    11,548.60x = 168,624,573.18
  5. Step 5: Solve for x
    x = 168,624,573.18/11,548.60
  6. Step 6: Final answer
    x = 14,601.30

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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.