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Finding the Fourth Proportional to 13,133.52, 19,689.07 and 5,732.44

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Solution

The fourth proportional to 13,133.52, 19,689.07 and 5,732.44 is: 8,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.52 : 19,689.07 = 5,732.44 : x
  2. Step 2: Convert to fraction form
    13,133.52/19,689.07 = 5,732.44/x
  3. Step 3: Cross multiply
    13,133.52x = 19,689.07 × 5,732.44
  4. Step 4: Simplify right side
    13,133.52x = 112,866,412.43
  5. Step 5: Solve for x
    x = 112,866,412.43/13,133.52
  6. Step 6: Final answer
    x = 8,593.77

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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.