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Finding the Fourth Proportional to 12,282.02, 16,940.04 and 9,624.14

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Solution

The fourth proportional to 12,282.02, 16,940.04 and 9,624.14 is: 13,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.02 : 16,940.04 = 9,624.14 : x
  2. Step 2: Convert to fraction form
    12,282.02/16,940.04 = 9,624.14/x
  3. Step 3: Cross multiply
    12,282.02x = 16,940.04 × 9,624.14
  4. Step 4: Simplify right side
    12,282.02x = 163,033,316.57
  5. Step 5: Solve for x
    x = 163,033,316.57/12,282.02
  6. Step 6: Final answer
    x = 13,274.15

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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.