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Finding the Fourth Proportional to 12,398.42, 18,581.81 and 5,810.09

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Solution

The fourth proportional to 12,398.42, 18,581.81 and 5,810.09 is: 8,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.42 : 18,581.81 = 5,810.09 : x
  2. Step 2: Convert to fraction form
    12,398.42/18,581.81 = 5,810.09/x
  3. Step 3: Cross multiply
    12,398.42x = 18,581.81 × 5,810.09
  4. Step 4: Simplify right side
    12,398.42x = 107,961,866.50
  5. Step 5: Solve for x
    x = 107,961,866.50/12,398.42
  6. Step 6: Final answer
    x = 8,707.72

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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.