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Finding the Fourth Proportional to 24,849.36, 37,274.34 and 9,860.16

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Solution

The fourth proportional to 24,849.36, 37,274.34 and 9,860.16 is: 14,790.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,849.36 : 37,274.34 = 9,860.16 : x
  2. Step 2: Convert to fraction form
    24,849.36/37,274.34 = 9,860.16/x
  3. Step 3: Cross multiply
    24,849.36x = 37,274.34 × 9,860.16
  4. Step 4: Simplify right side
    24,849.36x = 367,530,956.29
  5. Step 5: Solve for x
    x = 367,530,956.29/24,849.36
  6. Step 6: Final answer
    x = 14,790.36

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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.