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Finding the Fourth Proportional to 12,130.13, 18,175.05 and 4,228.46

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Solution

The fourth proportional to 12,130.13, 18,175.05 and 4,228.46 is: 6,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.13 : 18,175.05 = 4,228.46 : x
  2. Step 2: Convert to fraction form
    12,130.13/18,175.05 = 4,228.46/x
  3. Step 3: Cross multiply
    12,130.13x = 18,175.05 × 4,228.46
  4. Step 4: Simplify right side
    12,130.13x = 76,852,471.92
  5. Step 5: Solve for x
    x = 76,852,471.92/12,130.13
  6. Step 6: Final answer
    x = 6,335.67

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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.