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Finding the Fourth Proportional to 16,504, 22,776.72 and 9,430.27

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Solution

The fourth proportional to 16,504, 22,776.72 and 9,430.27 is: 13,014.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504 : 22,776.72 = 9,430.27 : x
  2. Step 2: Convert to fraction form
    16,504/22,776.72 = 9,430.27/x
  3. Step 3: Cross multiply
    16,504x = 22,776.72 × 9,430.27
  4. Step 4: Simplify right side
    16,504x = 214,790,619.31
  5. Step 5: Solve for x
    x = 214,790,619.31/16,504
  6. Step 6: Final answer
    x = 13,014.46

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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.