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Finding the Fourth Proportional to 16,245.74, 22,417.87 and 9,172.86

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Solution

The fourth proportional to 16,245.74, 22,417.87 and 9,172.86 is: 12,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,245.74 : 22,417.87 = 9,172.86 : x
  2. Step 2: Convert to fraction form
    16,245.74/22,417.87 = 9,172.86/x
  3. Step 3: Cross multiply
    16,245.74x = 22,417.87 × 9,172.86
  4. Step 4: Simplify right side
    16,245.74x = 205,635,983.01
  5. Step 5: Solve for x
    x = 205,635,983.01/16,245.74
  6. Step 6: Final answer
    x = 12,657.84

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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.