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Finding the Fourth Proportional to 13,598.67, 18,766.47 and 7,630.77

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Solution

The fourth proportional to 13,598.67, 18,766.47 and 7,630.77 is: 10,530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.67 : 18,766.47 = 7,630.77 : x
  2. Step 2: Convert to fraction form
    13,598.67/18,766.47 = 7,630.77/x
  3. Step 3: Cross multiply
    13,598.67x = 18,766.47 × 7,630.77
  4. Step 4: Simplify right side
    13,598.67x = 143,202,616.28
  5. Step 5: Solve for x
    x = 143,202,616.28/13,598.67
  6. Step 6: Final answer
    x = 10,530.63

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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.