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Finding the Fourth Proportional to 25,913.50, 38,870.34 and 7,195

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Solution

The fourth proportional to 25,913.50, 38,870.34 and 7,195 is: 10,792.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,913.50 : 38,870.34 = 7,195 : x
  2. Step 2: Convert to fraction form
    25,913.50/38,870.34 = 7,195/x
  3. Step 3: Cross multiply
    25,913.50x = 38,870.34 × 7,195
  4. Step 4: Simplify right side
    25,913.50x = 279,672,096.30
  5. Step 5: Solve for x
    x = 279,672,096.30/25,913.50
  6. Step 6: Final answer
    x = 10,792.52

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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.