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Finding the Fourth Proportional to 13,802.56, 20,696.50 and 10,113.80

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Solution

The fourth proportional to 13,802.56, 20,696.50 and 10,113.80 is: 15,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.56 : 20,696.50 = 10,113.80 : x
  2. Step 2: Convert to fraction form
    13,802.56/20,696.50 = 10,113.80/x
  3. Step 3: Cross multiply
    13,802.56x = 20,696.50 × 10,113.80
  4. Step 4: Simplify right side
    13,802.56x = 209,320,261.70
  5. Step 5: Solve for x
    x = 209,320,261.70/13,802.56
  6. Step 6: Final answer
    x = 15,165.32

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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.