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Finding the Fourth Proportional to 13,616.58, 18,792.03 and 7,649.46

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Solution

The fourth proportional to 13,616.58, 18,792.03 and 7,649.46 is: 10,556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.58 : 18,792.03 = 7,649.46 : x
  2. Step 2: Convert to fraction form
    13,616.58/18,792.03 = 7,649.46/x
  3. Step 3: Cross multiply
    13,616.58x = 18,792.03 × 7,649.46
  4. Step 4: Simplify right side
    13,616.58x = 143,748,881.80
  5. Step 5: Solve for x
    x = 143,748,881.80/13,616.58
  6. Step 6: Final answer
    x = 10,556.90

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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.