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Finding the Fourth Proportional to 16,899.16, 23,322.59 and 9,729.33

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Solution

The fourth proportional to 16,899.16, 23,322.59 and 9,729.33 is: 13,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,899.16 : 23,322.59 = 9,729.33 : x
  2. Step 2: Convert to fraction form
    16,899.16/23,322.59 = 9,729.33/x
  3. Step 3: Cross multiply
    16,899.16x = 23,322.59 × 9,729.33
  4. Step 4: Simplify right side
    16,899.16x = 226,913,257.19
  5. Step 5: Solve for x
    x = 226,913,257.19/16,899.16
  6. Step 6: Final answer
    x = 13,427.49

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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.