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Finding the Fourth Proportional to 12,030.84, 16,604.70 and 6,996.66

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Solution

The fourth proportional to 12,030.84, 16,604.70 and 6,996.66 is: 9,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030.84 : 16,604.70 = 6,996.66 : x
  2. Step 2: Convert to fraction form
    12,030.84/16,604.70 = 6,996.66/x
  3. Step 3: Cross multiply
    12,030.84x = 16,604.70 × 6,996.66
  4. Step 4: Simplify right side
    12,030.84x = 116,177,440.30
  5. Step 5: Solve for x
    x = 116,177,440.30/12,030.84
  6. Step 6: Final answer
    x = 9,656.64

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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.