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Finding the Fourth Proportional to 12,024.02, 16,593 and 6,989.15

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Solution

The fourth proportional to 12,024.02, 16,593 and 6,989.15 is: 9,644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.02 : 16,593 = 6,989.15 : x
  2. Step 2: Convert to fraction form
    12,024.02/16,593 = 6,989.15/x
  3. Step 3: Cross multiply
    12,024.02x = 16,593 × 6,989.15
  4. Step 4: Simplify right side
    12,024.02x = 115,970,965.95
  5. Step 5: Solve for x
    x = 115,970,965.95/12,024.02
  6. Step 6: Final answer
    x = 9,644.94

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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.