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Finding the Fourth Proportional to 24,758.86, 37,139.51 and 9,172.84

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Solution

The fourth proportional to 24,758.86, 37,139.51 and 9,172.84 is: 13,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758.86 : 37,139.51 = 9,172.84 : x
  2. Step 2: Convert to fraction form
    24,758.86/37,139.51 = 9,172.84/x
  3. Step 3: Cross multiply
    24,758.86x = 37,139.51 × 9,172.84
  4. Step 4: Simplify right side
    24,758.86x = 340,674,782.91
  5. Step 5: Solve for x
    x = 340,674,782.91/24,758.86
  6. Step 6: Final answer
    x = 13,759.71

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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.