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Finding the Fourth Proportional to 38,095.37, 57,158.07 and 11,802.15

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Solution

The fourth proportional to 38,095.37, 57,158.07 and 11,802.15 is: 17,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,095.37 : 57,158.07 = 11,802.15 : x
  2. Step 2: Convert to fraction form
    38,095.37/57,158.07 = 11,802.15/x
  3. Step 3: Cross multiply
    38,095.37x = 57,158.07 × 11,802.15
  4. Step 4: Simplify right side
    38,095.37x = 674,588,115.85
  5. Step 5: Solve for x
    x = 674,588,115.85/38,095.37
  6. Step 6: Final answer
    x = 17,707.88

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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.