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Finding the Fourth Proportional to 16,136.57, 22,258.80 and 10,157.86

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Solution

The fourth proportional to 16,136.57, 22,258.80 and 10,157.86 is: 14,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136.57 : 22,258.80 = 10,157.86 : x
  2. Step 2: Convert to fraction form
    16,136.57/22,258.80 = 10,157.86/x
  3. Step 3: Cross multiply
    16,136.57x = 22,258.80 × 10,157.86
  4. Step 4: Simplify right side
    16,136.57x = 226,101,774.17
  5. Step 5: Solve for x
    x = 226,101,774.17/16,136.57
  6. Step 6: Final answer
    x = 14,011.76

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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.