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Finding the Fourth Proportional to 17,981.76, 24,814.32 and 10,023.84

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Solution

The fourth proportional to 17,981.76, 24,814.32 and 10,023.84 is: 13,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,981.76 : 24,814.32 = 10,023.84 : x
  2. Step 2: Convert to fraction form
    17,981.76/24,814.32 = 10,023.84/x
  3. Step 3: Cross multiply
    17,981.76x = 24,814.32 × 10,023.84
  4. Step 4: Simplify right side
    17,981.76x = 248,734,773.39
  5. Step 5: Solve for x
    x = 248,734,773.39/17,981.76
  6. Step 6: Final answer
    x = 13,832.62

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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.