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Finding the Fourth Proportional to 14,608.65, 20,161.35 and 8,642.24

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Solution

The fourth proportional to 14,608.65, 20,161.35 and 8,642.24 is: 11,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.65 : 20,161.35 = 8,642.24 : x
  2. Step 2: Convert to fraction form
    14,608.65/20,161.35 = 8,642.24/x
  3. Step 3: Cross multiply
    14,608.65x = 20,161.35 × 8,642.24
  4. Step 4: Simplify right side
    14,608.65x = 174,239,081.41
  5. Step 5: Solve for x
    x = 174,239,081.41/14,608.65
  6. Step 6: Final answer
    x = 11,927.12

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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.