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Finding the Fourth Proportional to 38,096.86, 57,150.72 and 13,130.20

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Solution

The fourth proportional to 38,096.86, 57,150.72 and 13,130.20 is: 19,697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,096.86 : 57,150.72 = 13,130.20 : x
  2. Step 2: Convert to fraction form
    38,096.86/57,150.72 = 13,130.20/x
  3. Step 3: Cross multiply
    38,096.86x = 57,150.72 × 13,130.20
  4. Step 4: Simplify right side
    38,096.86x = 750,400,383.74
  5. Step 5: Solve for x
    x = 750,400,383.74/38,096.86
  6. Step 6: Final answer
    x = 19,697.17

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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.