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Finding the Fourth Proportional to 12,011.22, 16,574.94 and 6,705

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Solution

The fourth proportional to 12,011.22, 16,574.94 and 6,705 is: 9,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.22 : 16,574.94 = 6,705 : x
  2. Step 2: Convert to fraction form
    12,011.22/16,574.94 = 6,705/x
  3. Step 3: Cross multiply
    12,011.22x = 16,574.94 × 6,705
  4. Step 4: Simplify right side
    12,011.22x = 111,134,972.70
  5. Step 5: Solve for x
    x = 111,134,972.70/12,011.22
  6. Step 6: Final answer
    x = 9,252.60

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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.