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Finding the Fourth Proportional to 25,211, 37,822.76 and 10,424.18

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Solution

The fourth proportional to 25,211, 37,822.76 and 10,424.18 is: 15,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,211 : 37,822.76 = 10,424.18 : x
  2. Step 2: Convert to fraction form
    25,211/37,822.76 = 10,424.18/x
  3. Step 3: Cross multiply
    25,211x = 37,822.76 × 10,424.18
  4. Step 4: Simplify right side
    25,211x = 394,271,258.34
  5. Step 5: Solve for x
    x = 394,271,258.34/25,211
  6. Step 6: Final answer
    x = 15,638.86

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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.