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Finding the Fourth Proportional to 12,011.85, 16,574.70 and 6,705.99

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Solution

The fourth proportional to 12,011.85, 16,574.70 and 6,705.99 is: 9,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.85 : 16,574.70 = 6,705.99 : x
  2. Step 2: Convert to fraction form
    12,011.85/16,574.70 = 6,705.99/x
  3. Step 3: Cross multiply
    12,011.85x = 16,574.70 × 6,705.99
  4. Step 4: Simplify right side
    12,011.85x = 111,149,772.45
  5. Step 5: Solve for x
    x = 111,149,772.45/12,011.85
  6. Step 6: Final answer
    x = 9,253.34

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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.