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Finding the Fourth Proportional to 24,713.95, 37,076.39 and 7,182.31

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Solution

The fourth proportional to 24,713.95, 37,076.39 and 7,182.31 is: 10,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.95 : 37,076.39 = 7,182.31 : x
  2. Step 2: Convert to fraction form
    24,713.95/37,076.39 = 7,182.31/x
  3. Step 3: Cross multiply
    24,713.95x = 37,076.39 × 7,182.31
  4. Step 4: Simplify right side
    24,713.95x = 266,293,905.37
  5. Step 5: Solve for x
    x = 266,293,905.37/24,713.95
  6. Step 6: Final answer
    x = 10,775.05

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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.