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Finding the Fourth Proportional to 24,905.31, 37,362.40 and 8,266.32

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Solution

The fourth proportional to 24,905.31, 37,362.40 and 8,266.32 is: 12,400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,905.31 : 37,362.40 = 8,266.32 : x
  2. Step 2: Convert to fraction form
    24,905.31/37,362.40 = 8,266.32/x
  3. Step 3: Cross multiply
    24,905.31x = 37,362.40 × 8,266.32
  4. Step 4: Simplify right side
    24,905.31x = 308,849,513.04
  5. Step 5: Solve for x
    x = 308,849,513.04/24,905.31
  6. Step 6: Final answer
    x = 12,400.95

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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.