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Finding the Fourth Proportional to 12,184.84, 18,276.76 and 6,673.12

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Solution

The fourth proportional to 12,184.84, 18,276.76 and 6,673.12 is: 10,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.84 : 18,276.76 = 6,673.12 : x
  2. Step 2: Convert to fraction form
    12,184.84/18,276.76 = 6,673.12/x
  3. Step 3: Cross multiply
    12,184.84x = 18,276.76 × 6,673.12
  4. Step 4: Simplify right side
    12,184.84x = 121,963,012.69
  5. Step 5: Solve for x
    x = 121,963,012.69/12,184.84
  6. Step 6: Final answer
    x = 10,009.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.