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Finding the Fourth Proportional to 15,832.40, 21,850.20 and 9,459

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Solution

The fourth proportional to 15,832.40, 21,850.20 and 9,459 is: 13,054.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.40 : 21,850.20 = 9,459 : x
  2. Step 2: Convert to fraction form
    15,832.40/21,850.20 = 9,459/x
  3. Step 3: Cross multiply
    15,832.40x = 21,850.20 × 9,459
  4. Step 4: Simplify right side
    15,832.40x = 206,681,041.80
  5. Step 5: Solve for x
    x = 206,681,041.80/15,832.40
  6. Step 6: Final answer
    x = 13,054.31

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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.