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Finding the Fourth Proportional to 16,565.85, 22,858.34 and 9,851.36

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Solution

The fourth proportional to 16,565.85, 22,858.34 and 9,851.36 is: 13,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.85 : 22,858.34 = 9,851.36 : x
  2. Step 2: Convert to fraction form
    16,565.85/22,858.34 = 9,851.36/x
  3. Step 3: Cross multiply
    16,565.85x = 22,858.34 × 9,851.36
  4. Step 4: Simplify right side
    16,565.85x = 225,185,572.79
  5. Step 5: Solve for x
    x = 225,185,572.79/16,565.85
  6. Step 6: Final answer
    x = 13,593.36

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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.