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Finding the Fourth Proportional to 18,102.36, 24,980 and 10,035.94

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Solution

The fourth proportional to 18,102.36, 24,980 and 10,035.94 is: 13,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.36 : 24,980 = 10,035.94 : x
  2. Step 2: Convert to fraction form
    18,102.36/24,980 = 10,035.94/x
  3. Step 3: Cross multiply
    18,102.36x = 24,980 × 10,035.94
  4. Step 4: Simplify right side
    18,102.36x = 250,697,781.20
  5. Step 5: Solve for x
    x = 250,697,781.20/18,102.36
  6. Step 6: Final answer
    x = 13,848.90

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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.