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Finding the Fourth Proportional to 24,334.24, 36,507.54 and 6,804.16

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Solution

The fourth proportional to 24,334.24, 36,507.54 and 6,804.16 is: 10,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334.24 : 36,507.54 = 6,804.16 : x
  2. Step 2: Convert to fraction form
    24,334.24/36,507.54 = 6,804.16/x
  3. Step 3: Cross multiply
    24,334.24x = 36,507.54 × 6,804.16
  4. Step 4: Simplify right side
    24,334.24x = 248,403,143.37
  5. Step 5: Solve for x
    x = 248,403,143.37/24,334.24
  6. Step 6: Final answer
    x = 10,207.97

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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.