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Finding the Fourth Proportional to 12,025.84, 16,597.80 and 6,991.66

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Solution

The fourth proportional to 12,025.84, 16,597.80 and 6,991.66 is: 9,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.84 : 16,597.80 = 6,991.66 : x
  2. Step 2: Convert to fraction form
    12,025.84/16,597.80 = 6,991.66/x
  3. Step 3: Cross multiply
    12,025.84x = 16,597.80 × 6,991.66
  4. Step 4: Simplify right side
    12,025.84x = 116,046,174.35
  5. Step 5: Solve for x
    x = 116,046,174.35/12,025.84
  6. Step 6: Final answer
    x = 9,649.74

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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.