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Finding the Fourth Proportional to 16,565.88, 22,852.86 and 9,846.75

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Solution

The fourth proportional to 16,565.88, 22,852.86 and 9,846.75 is: 13,583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.88 : 22,852.86 = 9,846.75 : x
  2. Step 2: Convert to fraction form
    16,565.88/22,852.86 = 9,846.75/x
  3. Step 3: Cross multiply
    16,565.88x = 22,852.86 × 9,846.75
  4. Step 4: Simplify right side
    16,565.88x = 225,026,399.21
  5. Step 5: Solve for x
    x = 225,026,399.21/16,565.88
  6. Step 6: Final answer
    x = 13,583.73

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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.