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Finding the Fourth Proportional to 13,298.70, 18,331.35 and 9,099.66

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Solution

The fourth proportional to 13,298.70, 18,331.35 and 9,099.66 is: 12,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,298.70 : 18,331.35 = 9,099.66 : x
  2. Step 2: Convert to fraction form
    13,298.70/18,331.35 = 9,099.66/x
  3. Step 3: Cross multiply
    13,298.70x = 18,331.35 × 9,099.66
  4. Step 4: Simplify right side
    13,298.70x = 166,809,052.34
  5. Step 5: Solve for x
    x = 166,809,052.34/13,298.70
  6. Step 6: Final answer
    x = 12,543.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.