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Finding the Fourth Proportional to 12,473.68, 18,725.10 and 8,109.40

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Solution

The fourth proportional to 12,473.68, 18,725.10 and 8,109.40 is: 12,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.68 : 18,725.10 = 8,109.40 : x
  2. Step 2: Convert to fraction form
    12,473.68/18,725.10 = 8,109.40/x
  3. Step 3: Cross multiply
    12,473.68x = 18,725.10 × 8,109.40
  4. Step 4: Simplify right side
    12,473.68x = 151,849,325.94
  5. Step 5: Solve for x
    x = 151,849,325.94/12,473.68
  6. Step 6: Final answer
    x = 12,173.58

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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.