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Finding the Fourth Proportional to 25,465.41, 38,200.14 and 7,935.39

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Solution

The fourth proportional to 25,465.41, 38,200.14 and 7,935.39 is: 11,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465.41 : 38,200.14 = 7,935.39 : x
  2. Step 2: Convert to fraction form
    25,465.41/38,200.14 = 7,935.39/x
  3. Step 3: Cross multiply
    25,465.41x = 38,200.14 × 7,935.39
  4. Step 4: Simplify right side
    25,465.41x = 303,133,008.95
  5. Step 5: Solve for x
    x = 303,133,008.95/25,465.41
  6. Step 6: Final answer
    x = 11,903.72

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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.