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Finding the Fourth Proportional to 12,296.64, 18,444.28 and 5,371.12

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Solution

The fourth proportional to 12,296.64, 18,444.28 and 5,371.12 is: 8,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.64 : 18,444.28 = 5,371.12 : x
  2. Step 2: Convert to fraction form
    12,296.64/18,444.28 = 5,371.12/x
  3. Step 3: Cross multiply
    12,296.64x = 18,444.28 × 5,371.12
  4. Step 4: Simplify right side
    12,296.64x = 99,066,441.19
  5. Step 5: Solve for x
    x = 99,066,441.19/12,296.64
  6. Step 6: Final answer
    x = 8,056.38

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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.