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Finding the Fourth Proportional to 13,981, 19,293.78 and 7,693.24

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Solution

The fourth proportional to 13,981, 19,293.78 and 7,693.24 is: 10,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981 : 19,293.78 = 7,693.24 : x
  2. Step 2: Convert to fraction form
    13,981/19,293.78 = 7,693.24/x
  3. Step 3: Cross multiply
    13,981x = 19,293.78 × 7,693.24
  4. Step 4: Simplify right side
    13,981x = 148,431,680.05
  5. Step 5: Solve for x
    x = 148,431,680.05/13,981
  6. Step 6: Final answer
    x = 10,616.67

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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.