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Finding the Fourth Proportional to 24,607.16, 36,896.08 and 11,462.48

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Solution

The fourth proportional to 24,607.16, 36,896.08 and 11,462.48 is: 17,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,607.16 : 36,896.08 = 11,462.48 : x
  2. Step 2: Convert to fraction form
    24,607.16/36,896.08 = 11,462.48/x
  3. Step 3: Cross multiply
    24,607.16x = 36,896.08 × 11,462.48
  4. Step 4: Simplify right side
    24,607.16x = 422,920,579.08
  5. Step 5: Solve for x
    x = 422,920,579.08/24,607.16
  6. Step 6: Final answer
    x = 17,186.89

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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.