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Finding the Fourth Proportional to 12,409.40, 18,617.34 and 7,210.82

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Solution

The fourth proportional to 12,409.40, 18,617.34 and 7,210.82 is: 10,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.40 : 18,617.34 = 7,210.82 : x
  2. Step 2: Convert to fraction form
    12,409.40/18,617.34 = 7,210.82/x
  3. Step 3: Cross multiply
    12,409.40x = 18,617.34 × 7,210.82
  4. Step 4: Simplify right side
    12,409.40x = 134,246,287.62
  5. Step 5: Solve for x
    x = 134,246,287.62/12,409.40
  6. Step 6: Final answer
    x = 10,818.11

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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.