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Finding the Fourth Proportional to 16,586.25, 22,889.77 and 9,780.55

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Solution

The fourth proportional to 16,586.25, 22,889.77 and 9,780.55 is: 13,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.25 : 22,889.77 = 9,780.55 : x
  2. Step 2: Convert to fraction form
    16,586.25/22,889.77 = 9,780.55/x
  3. Step 3: Cross multiply
    16,586.25x = 22,889.77 × 9,780.55
  4. Step 4: Simplify right side
    16,586.25x = 223,874,376.62
  5. Step 5: Solve for x
    x = 223,874,376.62/16,586.25
  6. Step 6: Final answer
    x = 13,497.59

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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.