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Finding the Fourth Proportional to 13,800.32, 19,044.42 and 7,512.68

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Solution

The fourth proportional to 13,800.32, 19,044.42 and 7,512.68 is: 10,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.32 : 19,044.42 = 7,512.68 : x
  2. Step 2: Convert to fraction form
    13,800.32/19,044.42 = 7,512.68/x
  3. Step 3: Cross multiply
    13,800.32x = 19,044.42 × 7,512.68
  4. Step 4: Simplify right side
    13,800.32x = 143,074,633.25
  5. Step 5: Solve for x
    x = 143,074,633.25/13,800.32
  6. Step 6: Final answer
    x = 10,367.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.