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Finding the Fourth Proportional to 15,844.16, 21,863.45 and 9,469.47

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Solution

The fourth proportional to 15,844.16, 21,863.45 and 9,469.47 is: 13,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,844.16 : 21,863.45 = 9,469.47 : x
  2. Step 2: Convert to fraction form
    15,844.16/21,863.45 = 9,469.47/x
  3. Step 3: Cross multiply
    15,844.16x = 21,863.45 × 9,469.47
  4. Step 4: Simplify right side
    15,844.16x = 207,035,236.52
  5. Step 5: Solve for x
    x = 207,035,236.52/15,844.16
  6. Step 6: Final answer
    x = 13,066.98

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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.