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Finding the Fourth Proportional to 18,098.15, 24,976.44 and 10,142.93

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Solution

The fourth proportional to 18,098.15, 24,976.44 and 10,142.93 is: 13,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098.15 : 24,976.44 = 10,142.93 : x
  2. Step 2: Convert to fraction form
    18,098.15/24,976.44 = 10,142.93/x
  3. Step 3: Cross multiply
    18,098.15x = 24,976.44 × 10,142.93
  4. Step 4: Simplify right side
    18,098.15x = 253,334,345.01
  5. Step 5: Solve for x
    x = 253,334,345.01/18,098.15
  6. Step 6: Final answer
    x = 13,997.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.