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Finding the Fourth Proportional to 13,240.64, 19,863.52 and 5,032

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Solution

The fourth proportional to 13,240.64, 19,863.52 and 5,032 is: 7,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,240.64 : 19,863.52 = 5,032 : x
  2. Step 2: Convert to fraction form
    13,240.64/19,863.52 = 5,032/x
  3. Step 3: Cross multiply
    13,240.64x = 19,863.52 × 5,032
  4. Step 4: Simplify right side
    13,240.64x = 99,953,232.64
  5. Step 5: Solve for x
    x = 99,953,232.64/13,240.64
  6. Step 6: Final answer
    x = 7,548.97

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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.