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Finding the Fourth Proportional to 24,825.71, 37,238.49 and 10,034.46

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Solution

The fourth proportional to 24,825.71, 37,238.49 and 10,034.46 is: 15,051.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,825.71 : 37,238.49 = 10,034.46 : x
  2. Step 2: Convert to fraction form
    24,825.71/37,238.49 = 10,034.46/x
  3. Step 3: Cross multiply
    24,825.71x = 37,238.49 × 10,034.46
  4. Step 4: Simplify right side
    24,825.71x = 373,668,138.37
  5. Step 5: Solve for x
    x = 373,668,138.37/24,825.71
  6. Step 6: Final answer
    x = 15,051.66

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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.