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Finding the Fourth Proportional to 13,050.50, 18,003.71 and 7,742.30

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Solution

The fourth proportional to 13,050.50, 18,003.71 and 7,742.30 is: 10,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,050.50 : 18,003.71 = 7,742.30 : x
  2. Step 2: Convert to fraction form
    13,050.50/18,003.71 = 7,742.30/x
  3. Step 3: Cross multiply
    13,050.50x = 18,003.71 × 7,742.30
  4. Step 4: Simplify right side
    13,050.50x = 139,390,123.93
  5. Step 5: Solve for x
    x = 139,390,123.93/13,050.50
  6. Step 6: Final answer
    x = 10,680.83

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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.