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Finding the Fourth Proportional to 13,981.14, 19,294.34 and 7,608.14

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Solution

The fourth proportional to 13,981.14, 19,294.34 and 7,608.14 is: 10,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.14 : 19,294.34 = 7,608.14 : x
  2. Step 2: Convert to fraction form
    13,981.14/19,294.34 = 7,608.14/x
  3. Step 3: Cross multiply
    13,981.14x = 19,294.34 × 7,608.14
  4. Step 4: Simplify right side
    13,981.14x = 146,793,905.42
  5. Step 5: Solve for x
    x = 146,793,905.42/13,981.14
  6. Step 6: Final answer
    x = 10,499.42

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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.