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Finding the Fourth Proportional to 12,195.57, 18,293.28 and 3,875.40

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Solution

The fourth proportional to 12,195.57, 18,293.28 and 3,875.40 is: 5,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.57 : 18,293.28 = 3,875.40 : x
  2. Step 2: Convert to fraction form
    12,195.57/18,293.28 = 3,875.40/x
  3. Step 3: Cross multiply
    12,195.57x = 18,293.28 × 3,875.40
  4. Step 4: Simplify right side
    12,195.57x = 70,893,777.31
  5. Step 5: Solve for x
    x = 70,893,777.31/12,195.57
  6. Step 6: Final answer
    x = 5,813.08

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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.