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Finding the Fourth Proportional to 38,509.96, 57,709.86 and 17,397.58

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Solution

The fourth proportional to 38,509.96, 57,709.86 and 17,397.58 is: 26,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.96 : 57,709.86 = 17,397.58 : x
  2. Step 2: Convert to fraction form
    38,509.96/57,709.86 = 17,397.58/x
  3. Step 3: Cross multiply
    38,509.96x = 57,709.86 × 17,397.58
  4. Step 4: Simplify right side
    38,509.96x = 1,004,011,906.14
  5. Step 5: Solve for x
    x = 1,004,011,906.14/38,509.96
  6. Step 6: Final answer
    x = 26,071.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.