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Finding the Fourth Proportional to 24,807.72, 37,214.02 and 8,160.96

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Solution

The fourth proportional to 24,807.72, 37,214.02 and 8,160.96 is: 12,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807.72 : 37,214.02 = 8,160.96 : x
  2. Step 2: Convert to fraction form
    24,807.72/37,214.02 = 8,160.96/x
  3. Step 3: Cross multiply
    24,807.72x = 37,214.02 × 8,160.96
  4. Step 4: Simplify right side
    24,807.72x = 303,702,128.66
  5. Step 5: Solve for x
    x = 303,702,128.66/24,807.72
  6. Step 6: Final answer
    x = 12,242.24

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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.