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Finding the Fourth Proportional to 13,552.39, 18,703.20 and 7,584.63

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Solution

The fourth proportional to 13,552.39, 18,703.20 and 7,584.63 is: 10,467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.39 : 18,703.20 = 7,584.63 : x
  2. Step 2: Convert to fraction form
    13,552.39/18,703.20 = 7,584.63/x
  3. Step 3: Cross multiply
    13,552.39x = 18,703.20 × 7,584.63
  4. Step 4: Simplify right side
    13,552.39x = 141,856,851.82
  5. Step 5: Solve for x
    x = 141,856,851.82/13,552.39
  6. Step 6: Final answer
    x = 10,467.29

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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.