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Finding the Fourth Proportional to 12,024.84, 16,596.42 and 6,990.66

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Solution

The fourth proportional to 12,024.84, 16,596.42 and 6,990.66 is: 9,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.84 : 16,596.42 = 6,990.66 : x
  2. Step 2: Convert to fraction form
    12,024.84/16,596.42 = 6,990.66/x
  3. Step 3: Cross multiply
    12,024.84x = 16,596.42 × 6,990.66
  4. Step 4: Simplify right side
    12,024.84x = 116,019,929.44
  5. Step 5: Solve for x
    x = 116,019,929.44/12,024.84
  6. Step 6: Final answer
    x = 9,648.36

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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.