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Finding the Fourth Proportional to 16,499.72, 22,769.42 and 8,946.06

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Solution

The fourth proportional to 16,499.72, 22,769.42 and 8,946.06 is: 12,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.72 : 22,769.42 = 8,946.06 : x
  2. Step 2: Convert to fraction form
    16,499.72/22,769.42 = 8,946.06/x
  3. Step 3: Cross multiply
    16,499.72x = 22,769.42 × 8,946.06
  4. Step 4: Simplify right side
    16,499.72x = 203,696,552.75
  5. Step 5: Solve for x
    x = 203,696,552.75/16,499.72
  6. Step 6: Final answer
    x = 12,345.46

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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.