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Finding the Fourth Proportional to 17,981.61, 24,814.73 and 10,024.34

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Solution

The fourth proportional to 17,981.61, 24,814.73 and 10,024.34 is: 13,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,981.61 : 24,814.73 = 10,024.34 : x
  2. Step 2: Convert to fraction form
    17,981.61/24,814.73 = 10,024.34/x
  3. Step 3: Cross multiply
    17,981.61x = 24,814.73 × 10,024.34
  4. Step 4: Simplify right side
    17,981.61x = 248,751,228.49
  5. Step 5: Solve for x
    x = 248,751,228.49/17,981.61
  6. Step 6: Final answer
    x = 13,833.65

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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.