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Finding the Fourth Proportional to 25,978.59, 38,944.53 and 9,334.71

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Solution

The fourth proportional to 25,978.59, 38,944.53 and 9,334.71 is: 13,993.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.59 : 38,944.53 = 9,334.71 : x
  2. Step 2: Convert to fraction form
    25,978.59/38,944.53 = 9,334.71/x
  3. Step 3: Cross multiply
    25,978.59x = 38,944.53 × 9,334.71
  4. Step 4: Simplify right side
    25,978.59x = 363,535,893.64
  5. Step 5: Solve for x
    x = 363,535,893.64/25,978.59
  6. Step 6: Final answer
    x = 13,993.67

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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.