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Finding the Fourth Proportional to 13,007.64, 19,513.48 and 4,240.52

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Solution

The fourth proportional to 13,007.64, 19,513.48 and 4,240.52 is: 6,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.64 : 19,513.48 = 4,240.52 : x
  2. Step 2: Convert to fraction form
    13,007.64/19,513.48 = 4,240.52/x
  3. Step 3: Cross multiply
    13,007.64x = 19,513.48 × 4,240.52
  4. Step 4: Simplify right side
    13,007.64x = 82,747,302.21
  5. Step 5: Solve for x
    x = 82,747,302.21/13,007.64
  6. Step 6: Final answer
    x = 6,361.44

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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.