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Finding the Fourth Proportional to 14,683.72, 22,016.22 and 9,680.32

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Solution

The fourth proportional to 14,683.72, 22,016.22 and 9,680.32 is: 14,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.72 : 22,016.22 = 9,680.32 : x
  2. Step 2: Convert to fraction form
    14,683.72/22,016.22 = 9,680.32/x
  3. Step 3: Cross multiply
    14,683.72x = 22,016.22 × 9,680.32
  4. Step 4: Simplify right side
    14,683.72x = 213,124,054.79
  5. Step 5: Solve for x
    x = 213,124,054.79/14,683.72
  6. Step 6: Final answer
    x = 14,514.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.