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Finding the Fourth Proportional to 25,953.75, 38,935.49 and 12,102.75

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Solution

The fourth proportional to 25,953.75, 38,935.49 and 12,102.75 is: 18,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,953.75 : 38,935.49 = 12,102.75 : x
  2. Step 2: Convert to fraction form
    25,953.75/38,935.49 = 12,102.75/x
  3. Step 3: Cross multiply
    25,953.75x = 38,935.49 × 12,102.75
  4. Step 4: Simplify right side
    25,953.75x = 471,226,441.08
  5. Step 5: Solve for x
    x = 471,226,441.08/25,953.75
  6. Step 6: Final answer
    x = 18,156.39

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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.