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Finding the Fourth Proportional to 15,914.95, 23,839.62 and 9,321.14

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Solution

The fourth proportional to 15,914.95, 23,839.62 and 9,321.14 is: 13,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.95 : 23,839.62 = 9,321.14 : x
  2. Step 2: Convert to fraction form
    15,914.95/23,839.62 = 9,321.14/x
  3. Step 3: Cross multiply
    15,914.95x = 23,839.62 × 9,321.14
  4. Step 4: Simplify right side
    15,914.95x = 222,212,460.21
  5. Step 5: Solve for x
    x = 222,212,460.21/15,914.95
  6. Step 6: Final answer
    x = 13,962.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.