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Finding the Fourth Proportional to 38,095.86, 57,149.22 and 13,129.20

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Solution

The fourth proportional to 38,095.86, 57,149.22 and 13,129.20 is: 19,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,095.86 : 57,149.22 = 13,129.20 : x
  2. Step 2: Convert to fraction form
    38,095.86/57,149.22 = 13,129.20/x
  3. Step 3: Cross multiply
    38,095.86x = 57,149.22 × 13,129.20
  4. Step 4: Simplify right side
    38,095.86x = 750,323,539.22
  5. Step 5: Solve for x
    x = 750,323,539.22/38,095.86
  6. Step 6: Final answer
    x = 19,695.67

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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.