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Finding the Fourth Proportional to 37,807.24, 56,683.02 and 12,840.56

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Solution

The fourth proportional to 37,807.24, 56,683.02 and 12,840.56 is: 19,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,807.24 : 56,683.02 = 12,840.56 : x
  2. Step 2: Convert to fraction form
    37,807.24/56,683.02 = 12,840.56/x
  3. Step 3: Cross multiply
    37,807.24x = 56,683.02 × 12,840.56
  4. Step 4: Simplify right side
    37,807.24x = 727,841,719.29
  5. Step 5: Solve for x
    x = 727,841,719.29/37,807.24
  6. Step 6: Final answer
    x = 19,251.38

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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.