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Finding the Fourth Proportional to 15,813.86, 21,822.32 and 8,738.92

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Solution

The fourth proportional to 15,813.86, 21,822.32 and 8,738.92 is: 12,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.86 : 21,822.32 = 8,738.92 : x
  2. Step 2: Convert to fraction form
    15,813.86/21,822.32 = 8,738.92/x
  3. Step 3: Cross multiply
    15,813.86x = 21,822.32 × 8,738.92
  4. Step 4: Simplify right side
    15,813.86x = 190,703,355.89
  5. Step 5: Solve for x
    x = 190,703,355.89/15,813.86
  6. Step 6: Final answer
    x = 12,059.25

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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.