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Finding the Fourth Proportional to 12,041.40, 18,056.70 and 5,464.20

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Solution

The fourth proportional to 12,041.40, 18,056.70 and 5,464.20 is: 8,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,041.40 : 18,056.70 = 5,464.20 : x
  2. Step 2: Convert to fraction form
    12,041.40/18,056.70 = 5,464.20/x
  3. Step 3: Cross multiply
    12,041.40x = 18,056.70 × 5,464.20
  4. Step 4: Simplify right side
    12,041.40x = 98,665,420.14
  5. Step 5: Solve for x
    x = 98,665,420.14/12,041.40
  6. Step 6: Final answer
    x = 8,193.85

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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.