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Finding the Fourth Proportional to 25,364, 38,063.28 and 8,948

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Solution

The fourth proportional to 25,364, 38,063.28 and 8,948 is: 13,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,364 : 38,063.28 = 8,948 : x
  2. Step 2: Convert to fraction form
    25,364/38,063.28 = 8,948/x
  3. Step 3: Cross multiply
    25,364x = 38,063.28 × 8,948
  4. Step 4: Simplify right side
    25,364x = 340,590,229.44
  5. Step 5: Solve for x
    x = 340,590,229.44/25,364
  6. Step 6: Final answer
    x = 13,428.10

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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.