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Finding the Fourth Proportional to 25,689.69, 38,536.92 and 10,103.67

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Solution

The fourth proportional to 25,689.69, 38,536.92 and 10,103.67 is: 15,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,689.69 : 38,536.92 = 10,103.67 : x
  2. Step 2: Convert to fraction form
    25,689.69/38,536.92 = 10,103.67/x
  3. Step 3: Cross multiply
    25,689.69x = 38,536.92 × 10,103.67
  4. Step 4: Simplify right side
    25,689.69x = 389,364,322.50
  5. Step 5: Solve for x
    x = 389,364,322.50/25,689.69
  6. Step 6: Final answer
    x = 15,156.44

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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.