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Finding the Fourth Proportional to 24,952.32, 37,415.93 and 8,306.42

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Solution

The fourth proportional to 24,952.32, 37,415.93 and 8,306.42 is: 12,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,952.32 : 37,415.93 = 8,306.42 : x
  2. Step 2: Convert to fraction form
    24,952.32/37,415.93 = 8,306.42/x
  3. Step 3: Cross multiply
    24,952.32x = 37,415.93 × 8,306.42
  4. Step 4: Simplify right side
    24,952.32x = 310,792,200.66
  5. Step 5: Solve for x
    x = 310,792,200.66/24,952.32
  6. Step 6: Final answer
    x = 12,455.44

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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.