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Finding the Fourth Proportional to 16,430, 22,673.42 and 8,978

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Solution

The fourth proportional to 16,430, 22,673.42 and 8,978 is: 12,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430 : 22,673.42 = 8,978 : x
  2. Step 2: Convert to fraction form
    16,430/22,673.42 = 8,978/x
  3. Step 3: Cross multiply
    16,430x = 22,673.42 × 8,978
  4. Step 4: Simplify right side
    16,430x = 203,561,964.76
  5. Step 5: Solve for x
    x = 203,561,964.76/16,430
  6. Step 6: Final answer
    x = 12,389.65

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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.