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Finding the Fourth Proportional to 17,853.86, 24,639.77 and 9,898.63

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Solution

The fourth proportional to 17,853.86, 24,639.77 and 9,898.63 is: 13,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.86 : 24,639.77 = 9,898.63 : x
  2. Step 2: Convert to fraction form
    17,853.86/24,639.77 = 9,898.63/x
  3. Step 3: Cross multiply
    17,853.86x = 24,639.77 × 9,898.63
  4. Step 4: Simplify right side
    17,853.86x = 243,899,793.82
  5. Step 5: Solve for x
    x = 243,899,793.82/17,853.86
  6. Step 6: Final answer
    x = 13,660.90

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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.