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Finding the Fourth Proportional to 23,119.84, 34,699.24 and 9,982.16

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Solution

The fourth proportional to 23,119.84, 34,699.24 and 9,982.16 is: 14,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,119.84 : 34,699.24 = 9,982.16 : x
  2. Step 2: Convert to fraction form
    23,119.84/34,699.24 = 9,982.16/x
  3. Step 3: Cross multiply
    23,119.84x = 34,699.24 × 9,982.16
  4. Step 4: Simplify right side
    23,119.84x = 346,373,365.56
  5. Step 5: Solve for x
    x = 346,373,365.56/23,119.84
  6. Step 6: Final answer
    x = 14,981.65

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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.