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Finding the Fourth Proportional to 12,652.25, 18,989.95 and 6,416.57

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Solution

The fourth proportional to 12,652.25, 18,989.95 and 6,416.57 is: 9,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.25 : 18,989.95 = 6,416.57 : x
  2. Step 2: Convert to fraction form
    12,652.25/18,989.95 = 6,416.57/x
  3. Step 3: Cross multiply
    12,652.25x = 18,989.95 × 6,416.57
  4. Step 4: Simplify right side
    12,652.25x = 121,850,232.48
  5. Step 5: Solve for x
    x = 121,850,232.48/12,652.25
  6. Step 6: Final answer
    x = 9,630.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.