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Finding the Fourth Proportional to 13,598.36, 18,766.05 and 7,630.47

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Solution

The fourth proportional to 13,598.36, 18,766.05 and 7,630.47 is: 10,530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.36 : 18,766.05 = 7,630.47 : x
  2. Step 2: Convert to fraction form
    13,598.36/18,766.05 = 7,630.47/x
  3. Step 3: Cross multiply
    13,598.36x = 18,766.05 × 7,630.47
  4. Step 4: Simplify right side
    13,598.36x = 143,193,738.14
  5. Step 5: Solve for x
    x = 143,193,738.14/13,598.36
  6. Step 6: Final answer
    x = 10,530.22

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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.