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Finding the Fourth Proportional to 17,981.92, 24,814.80 and 10,024

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Solution

The fourth proportional to 17,981.92, 24,814.80 and 10,024 is: 13,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,981.92 : 24,814.80 = 10,024 : x
  2. Step 2: Convert to fraction form
    17,981.92/24,814.80 = 10,024/x
  3. Step 3: Cross multiply
    17,981.92x = 24,814.80 × 10,024
  4. Step 4: Simplify right side
    17,981.92x = 248,743,555.20
  5. Step 5: Solve for x
    x = 248,743,555.20/17,981.92
  6. Step 6: Final answer
    x = 13,832.98

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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.