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Finding the Fourth Proportional to 16,234, 22,399.84 and 10,261.46

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Solution

The fourth proportional to 16,234, 22,399.84 and 10,261.46 is: 14,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234 : 22,399.84 = 10,261.46 : x
  2. Step 2: Convert to fraction form
    16,234/22,399.84 = 10,261.46/x
  3. Step 3: Cross multiply
    16,234x = 22,399.84 × 10,261.46
  4. Step 4: Simplify right side
    16,234x = 229,855,062.17
  5. Step 5: Solve for x
    x = 229,855,062.17/16,234
  6. Step 6: Final answer
    x = 14,158.87

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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.