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Finding the Fourth Proportional to 16,514.46, 22,795.86 and 9,800.08

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Solution

The fourth proportional to 16,514.46, 22,795.86 and 9,800.08 is: 13,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.46 : 22,795.86 = 9,800.08 : x
  2. Step 2: Convert to fraction form
    16,514.46/22,795.86 = 9,800.08/x
  3. Step 3: Cross multiply
    16,514.46x = 22,795.86 × 9,800.08
  4. Step 4: Simplify right side
    16,514.46x = 223,401,322.96
  5. Step 5: Solve for x
    x = 223,401,322.96/16,514.46
  6. Step 6: Final answer
    x = 13,527.62

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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.