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Finding the Fourth Proportional to 14,608.79, 20,176.76 and 9,820.42

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Solution

The fourth proportional to 14,608.79, 20,176.76 and 9,820.42 is: 13,563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.79 : 20,176.76 = 9,820.42 : x
  2. Step 2: Convert to fraction form
    14,608.79/20,176.76 = 9,820.42/x
  3. Step 3: Cross multiply
    14,608.79x = 20,176.76 × 9,820.42
  4. Step 4: Simplify right side
    14,608.79x = 198,144,257.44
  5. Step 5: Solve for x
    x = 198,144,257.44/14,608.79
  6. Step 6: Final answer
    x = 13,563.36

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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.