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Finding the Fourth Proportional to 16,051.42, 22,151.10 and 8,978.50

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Solution

The fourth proportional to 16,051.42, 22,151.10 and 8,978.50 is: 12,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,051.42 : 22,151.10 = 8,978.50 : x
  2. Step 2: Convert to fraction form
    16,051.42/22,151.10 = 8,978.50/x
  3. Step 3: Cross multiply
    16,051.42x = 22,151.10 × 8,978.50
  4. Step 4: Simplify right side
    16,051.42x = 198,883,651.35
  5. Step 5: Solve for x
    x = 198,883,651.35/16,051.42
  6. Step 6: Final answer
    x = 12,390.41

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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.