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Finding the Fourth Proportional to 16,157.76, 22,298.88 and 9,085.44

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Solution

The fourth proportional to 16,157.76, 22,298.88 and 9,085.44 is: 12,538.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.76 : 22,298.88 = 9,085.44 : x
  2. Step 2: Convert to fraction form
    16,157.76/22,298.88 = 9,085.44/x
  3. Step 3: Cross multiply
    16,157.76x = 22,298.88 × 9,085.44
  4. Step 4: Simplify right side
    16,157.76x = 202,595,136.31
  5. Step 5: Solve for x
    x = 202,595,136.31/16,157.76
  6. Step 6: Final answer
    x = 12,538.57

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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.