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Finding the Fourth Proportional to 12,235.24, 18,349.02 and 5,215.20

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Solution

The fourth proportional to 12,235.24, 18,349.02 and 5,215.20 is: 7,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.24 : 18,349.02 = 5,215.20 : x
  2. Step 2: Convert to fraction form
    12,235.24/18,349.02 = 5,215.20/x
  3. Step 3: Cross multiply
    12,235.24x = 18,349.02 × 5,215.20
  4. Step 4: Simplify right side
    12,235.24x = 95,693,809.10
  5. Step 5: Solve for x
    x = 95,693,809.10/12,235.24
  6. Step 6: Final answer
    x = 7,821.16

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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.