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Finding the Fourth Proportional to 16,026.42, 22,116.43 and 9,656.70

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Solution

The fourth proportional to 16,026.42, 22,116.43 and 9,656.70 is: 13,326.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,026.42 : 22,116.43 = 9,656.70 : x
  2. Step 2: Convert to fraction form
    16,026.42/22,116.43 = 9,656.70/x
  3. Step 3: Cross multiply
    16,026.42x = 22,116.43 × 9,656.70
  4. Step 4: Simplify right side
    16,026.42x = 213,571,729.58
  5. Step 5: Solve for x
    x = 213,571,729.58/16,026.42
  6. Step 6: Final answer
    x = 13,326.23

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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.