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Finding the Fourth Proportional to 12,884.32, 19,328.16 and 3,650.56

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Solution

The fourth proportional to 12,884.32, 19,328.16 and 3,650.56 is: 5,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.32 : 19,328.16 = 3,650.56 : x
  2. Step 2: Convert to fraction form
    12,884.32/19,328.16 = 3,650.56/x
  3. Step 3: Cross multiply
    12,884.32x = 19,328.16 × 3,650.56
  4. Step 4: Simplify right side
    12,884.32x = 70,558,607.77
  5. Step 5: Solve for x
    x = 70,558,607.77/12,884.32
  6. Step 6: Final answer
    x = 5,476.32

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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.