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Finding the Fourth Proportional to 25,223.42, 37,842.42 and 10,429.58

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Solution

The fourth proportional to 25,223.42, 37,842.42 and 10,429.58 is: 15,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,223.42 : 37,842.42 = 10,429.58 : x
  2. Step 2: Convert to fraction form
    25,223.42/37,842.42 = 10,429.58/x
  3. Step 3: Cross multiply
    25,223.42x = 37,842.42 × 10,429.58
  4. Step 4: Simplify right side
    25,223.42x = 394,680,546.78
  5. Step 5: Solve for x
    x = 394,680,546.78/25,223.42
  6. Step 6: Final answer
    x = 15,647.38

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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.