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Finding the Fourth Proportional to 25,199, 37,799.32 and 7,669

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Solution

The fourth proportional to 25,199, 37,799.32 and 7,669 is: 11,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,199 : 37,799.32 = 7,669 : x
  2. Step 2: Convert to fraction form
    25,199/37,799.32 = 7,669/x
  3. Step 3: Cross multiply
    25,199x = 37,799.32 × 7,669
  4. Step 4: Simplify right side
    25,199x = 289,882,985.08
  5. Step 5: Solve for x
    x = 289,882,985.08/25,199
  6. Step 6: Final answer
    x = 11,503.75

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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.