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Finding the Fourth Proportional to 13,693.70, 18,880.16 and 11,428.29

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Solution

The fourth proportional to 13,693.70, 18,880.16 and 11,428.29 is: 15,756.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.70 : 18,880.16 = 11,428.29 : x
  2. Step 2: Convert to fraction form
    13,693.70/18,880.16 = 11,428.29/x
  3. Step 3: Cross multiply
    13,693.70x = 18,880.16 × 11,428.29
  4. Step 4: Simplify right side
    13,693.70x = 215,767,886.58
  5. Step 5: Solve for x
    x = 215,767,886.58/13,693.70
  6. Step 6: Final answer
    x = 15,756.73

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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.