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Finding the Fourth Proportional to 12,270.89, 18,411.79 and 6,426.13

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Solution

The fourth proportional to 12,270.89, 18,411.79 and 6,426.13 is: 9,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.89 : 18,411.79 = 6,426.13 : x
  2. Step 2: Convert to fraction form
    12,270.89/18,411.79 = 6,426.13/x
  3. Step 3: Cross multiply
    12,270.89x = 18,411.79 × 6,426.13
  4. Step 4: Simplify right side
    12,270.89x = 118,316,464.01
  5. Step 5: Solve for x
    x = 118,316,464.01/12,270.89
  6. Step 6: Final answer
    x = 9,642.05

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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.