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Finding the Fourth Proportional to 24,701.94, 37,072.20 and 9,920.57

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Solution

The fourth proportional to 24,701.94, 37,072.20 and 9,920.57 is: 14,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701.94 : 37,072.20 = 9,920.57 : x
  2. Step 2: Convert to fraction form
    24,701.94/37,072.20 = 9,920.57/x
  3. Step 3: Cross multiply
    24,701.94x = 37,072.20 × 9,920.57
  4. Step 4: Simplify right side
    24,701.94x = 367,777,169.79
  5. Step 5: Solve for x
    x = 367,777,169.79/24,701.94
  6. Step 6: Final answer
    x = 14,888.59

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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.