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Finding the Fourth Proportional to 16,377.68, 22,600 and 10,090.16

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Solution

The fourth proportional to 16,377.68, 22,600 and 10,090.16 is: 13,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377.68 : 22,600 = 10,090.16 : x
  2. Step 2: Convert to fraction form
    16,377.68/22,600 = 10,090.16/x
  3. Step 3: Cross multiply
    16,377.68x = 22,600 × 10,090.16
  4. Step 4: Simplify right side
    16,377.68x = 228,037,616
  5. Step 5: Solve for x
    x = 228,037,616/16,377.68
  6. Step 6: Final answer
    x = 13,923.68

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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.