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Finding the Fourth Proportional to 12,989.95, 17,923.85 and 7,682.83

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Solution

The fourth proportional to 12,989.95, 17,923.85 and 7,682.83 is: 10,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.95 : 17,923.85 = 7,682.83 : x
  2. Step 2: Convert to fraction form
    12,989.95/17,923.85 = 7,682.83/x
  3. Step 3: Cross multiply
    12,989.95x = 17,923.85 × 7,682.83
  4. Step 4: Simplify right side
    12,989.95x = 137,705,892.50
  5. Step 5: Solve for x
    x = 137,705,892.50/12,989.95
  6. Step 6: Final answer
    x = 10,600.96

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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.