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Finding the Fourth Proportional to 13,915.13, 20,820.27 and 9,763.34

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Solution

The fourth proportional to 13,915.13, 20,820.27 and 9,763.34 is: 14,608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.13 : 20,820.27 = 9,763.34 : x
  2. Step 2: Convert to fraction form
    13,915.13/20,820.27 = 9,763.34/x
  3. Step 3: Cross multiply
    13,915.13x = 20,820.27 × 9,763.34
  4. Step 4: Simplify right side
    13,915.13x = 203,275,307.41
  5. Step 5: Solve for x
    x = 203,275,307.41/13,915.13
  6. Step 6: Final answer
    x = 14,608.23

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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.