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Finding the Fourth Proportional to 16,580.64, 22,879.44 and 11,282.16

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Solution

The fourth proportional to 16,580.64, 22,879.44 and 11,282.16 is: 15,568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.64 : 22,879.44 = 11,282.16 : x
  2. Step 2: Convert to fraction form
    16,580.64/22,879.44 = 11,282.16/x
  3. Step 3: Cross multiply
    16,580.64x = 22,879.44 × 11,282.16
  4. Step 4: Simplify right side
    16,580.64x = 258,129,502.79
  5. Step 5: Solve for x
    x = 258,129,502.79/16,580.64
  6. Step 6: Final answer
    x = 15,568.13

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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.