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Finding the Fourth Proportional to 17,809.92, 24,578.64 and 10,737.36

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Solution

The fourth proportional to 17,809.92, 24,578.64 and 10,737.36 is: 14,818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.92 : 24,578.64 = 10,737.36 : x
  2. Step 2: Convert to fraction form
    17,809.92/24,578.64 = 10,737.36/x
  3. Step 3: Cross multiply
    17,809.92x = 24,578.64 × 10,737.36
  4. Step 4: Simplify right side
    17,809.92x = 263,909,705.99
  5. Step 5: Solve for x
    x = 263,909,705.99/17,809.92
  6. Step 6: Final answer
    x = 14,818.13

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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.