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Finding the Fourth Proportional to 16,543, 22,830.42 and 10,259.56

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Solution

The fourth proportional to 16,543, 22,830.42 and 10,259.56 is: 14,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543 : 22,830.42 = 10,259.56 : x
  2. Step 2: Convert to fraction form
    16,543/22,830.42 = 10,259.56/x
  3. Step 3: Cross multiply
    16,543x = 22,830.42 × 10,259.56
  4. Step 4: Simplify right side
    16,543x = 234,230,063.82
  5. Step 5: Solve for x
    x = 234,230,063.82/16,543
  6. Step 6: Final answer
    x = 14,158.86

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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.