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Finding the Fourth Proportional to 25,558.76, 38,344.66 and 9,763.76

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Solution

The fourth proportional to 25,558.76, 38,344.66 and 9,763.76 is: 14,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,558.76 : 38,344.66 = 9,763.76 : x
  2. Step 2: Convert to fraction form
    25,558.76/38,344.66 = 9,763.76/x
  3. Step 3: Cross multiply
    25,558.76x = 38,344.66 × 9,763.76
  4. Step 4: Simplify right side
    25,558.76x = 374,388,057.52
  5. Step 5: Solve for x
    x = 374,388,057.52/25,558.76
  6. Step 6: Final answer
    x = 14,648.13

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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.