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Finding the Fourth Proportional to 16,955.44, 23,397.24 and 9,502

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Solution

The fourth proportional to 16,955.44, 23,397.24 and 9,502 is: 13,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,955.44 : 23,397.24 = 9,502 : x
  2. Step 2: Convert to fraction form
    16,955.44/23,397.24 = 9,502/x
  3. Step 3: Cross multiply
    16,955.44x = 23,397.24 × 9,502
  4. Step 4: Simplify right side
    16,955.44x = 222,320,574.48
  5. Step 5: Solve for x
    x = 222,320,574.48/16,955.44
  6. Step 6: Final answer
    x = 13,112.05

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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.