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Finding the Fourth Proportional to 25,901.70, 38,846.78 and 10,107.16

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Solution

The fourth proportional to 25,901.70, 38,846.78 and 10,107.16 is: 15,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,901.70 : 38,846.78 = 10,107.16 : x
  2. Step 2: Convert to fraction form
    25,901.70/38,846.78 = 10,107.16/x
  3. Step 3: Cross multiply
    25,901.70x = 38,846.78 × 10,107.16
  4. Step 4: Simplify right side
    25,901.70x = 392,630,620.94
  5. Step 5: Solve for x
    x = 392,630,620.94/25,901.70
  6. Step 6: Final answer
    x = 15,158.49

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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.