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Finding the Fourth Proportional to 25,515, 38,275.20 and 6,795.36

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Solution

The fourth proportional to 25,515, 38,275.20 and 6,795.36 is: 10,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,515 : 38,275.20 = 6,795.36 : x
  2. Step 2: Convert to fraction form
    25,515/38,275.20 = 6,795.36/x
  3. Step 3: Cross multiply
    25,515x = 38,275.20 × 6,795.36
  4. Step 4: Simplify right side
    25,515x = 260,093,763.07
  5. Step 5: Solve for x
    x = 260,093,763.07/25,515
  6. Step 6: Final answer
    x = 10,193.76

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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.