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Finding the Fourth Proportional to 24,493.42, 36,707.73 and 8,896.06

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Solution

The fourth proportional to 24,493.42, 36,707.73 and 8,896.06 is: 13,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493.42 : 36,707.73 = 8,896.06 : x
  2. Step 2: Convert to fraction form
    24,493.42/36,707.73 = 8,896.06/x
  3. Step 3: Cross multiply
    24,493.42x = 36,707.73 × 8,896.06
  4. Step 4: Simplify right side
    24,493.42x = 326,554,168.54
  5. Step 5: Solve for x
    x = 326,554,168.54/24,493.42
  6. Step 6: Final answer
    x = 13,332.32

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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.