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Finding the Fourth Proportional to 12,340.95, 18,513.78 and 6,420.66

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Solution

The fourth proportional to 12,340.95, 18,513.78 and 6,420.66 is: 9,632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.95 : 18,513.78 = 6,420.66 : x
  2. Step 2: Convert to fraction form
    12,340.95/18,513.78 = 6,420.66/x
  3. Step 3: Cross multiply
    12,340.95x = 18,513.78 × 6,420.66
  4. Step 4: Simplify right side
    12,340.95x = 118,870,686.69
  5. Step 5: Solve for x
    x = 118,870,686.69/12,340.95
  6. Step 6: Final answer
    x = 9,632.22

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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.