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Finding the Fourth Proportional to 12,195.95, 18,293.93 and 3,430.87

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Solution

The fourth proportional to 12,195.95, 18,293.93 and 3,430.87 is: 5,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.95 : 18,293.93 = 3,430.87 : x
  2. Step 2: Convert to fraction form
    12,195.95/18,293.93 = 3,430.87/x
  3. Step 3: Cross multiply
    12,195.95x = 18,293.93 × 3,430.87
  4. Step 4: Simplify right side
    12,195.95x = 62,764,058.46
  5. Step 5: Solve for x
    x = 62,764,058.46/12,195.95
  6. Step 6: Final answer
    x = 5,146.30

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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.