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Finding the Fourth Proportional to 24,842.30, 37,268.10 and 8,203.07

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Solution

The fourth proportional to 24,842.30, 37,268.10 and 8,203.07 is: 12,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.30 : 37,268.10 = 8,203.07 : x
  2. Step 2: Convert to fraction form
    24,842.30/37,268.10 = 8,203.07/x
  3. Step 3: Cross multiply
    24,842.30x = 37,268.10 × 8,203.07
  4. Step 4: Simplify right side
    24,842.30x = 305,712,926.24
  5. Step 5: Solve for x
    x = 305,712,926.24/24,842.30
  6. Step 6: Final answer
    x = 12,306.15

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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.