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Finding the Fourth Proportional to 16,500.18, 22,770 and 8,946.36

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Solution

The fourth proportional to 16,500.18, 22,770 and 8,946.36 is: 12,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.18 : 22,770 = 8,946.36 : x
  2. Step 2: Convert to fraction form
    16,500.18/22,770 = 8,946.36/x
  3. Step 3: Cross multiply
    16,500.18x = 22,770 × 8,946.36
  4. Step 4: Simplify right side
    16,500.18x = 203,708,617.20
  5. Step 5: Solve for x
    x = 203,708,617.20/16,500.18
  6. Step 6: Final answer
    x = 12,345.84

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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.