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Finding the Fourth Proportional to 12,146.40, 18,214.20 and 5,574.72

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Solution

The fourth proportional to 12,146.40, 18,214.20 and 5,574.72 is: 8,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.40 : 18,214.20 = 5,574.72 : x
  2. Step 2: Convert to fraction form
    12,146.40/18,214.20 = 5,574.72/x
  3. Step 3: Cross multiply
    12,146.40x = 18,214.20 × 5,574.72
  4. Step 4: Simplify right side
    12,146.40x = 101,539,065.02
  5. Step 5: Solve for x
    x = 101,539,065.02/12,146.40
  6. Step 6: Final answer
    x = 8,359.60

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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.