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Finding the Fourth Proportional to 25,809.42, 38,715.93 and 10,227

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Solution

The fourth proportional to 25,809.42, 38,715.93 and 10,227 is: 15,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,809.42 : 38,715.93 = 10,227 : x
  2. Step 2: Convert to fraction form
    25,809.42/38,715.93 = 10,227/x
  3. Step 3: Cross multiply
    25,809.42x = 38,715.93 × 10,227
  4. Step 4: Simplify right side
    25,809.42x = 395,947,816.11
  5. Step 5: Solve for x
    x = 395,947,816.11/25,809.42
  6. Step 6: Final answer
    x = 15,341.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.