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Finding the Fourth Proportional to 16,282.50, 22,462.26 and 9,565.98

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Solution

The fourth proportional to 16,282.50, 22,462.26 and 9,565.98 is: 13,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.50 : 22,462.26 = 9,565.98 : x
  2. Step 2: Convert to fraction form
    16,282.50/22,462.26 = 9,565.98/x
  3. Step 3: Cross multiply
    16,282.50x = 22,462.26 × 9,565.98
  4. Step 4: Simplify right side
    16,282.50x = 214,873,529.91
  5. Step 5: Solve for x
    x = 214,873,529.91/16,282.50
  6. Step 6: Final answer
    x = 13,196.59

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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.