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Finding the Fourth Proportional to 16,170.98, 22,315.74 and 9,097.40

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Solution

The fourth proportional to 16,170.98, 22,315.74 and 9,097.40 is: 12,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170.98 : 22,315.74 = 9,097.40 : x
  2. Step 2: Convert to fraction form
    16,170.98/22,315.74 = 9,097.40/x
  3. Step 3: Cross multiply
    16,170.98x = 22,315.74 × 9,097.40
  4. Step 4: Simplify right side
    16,170.98x = 203,015,213.08
  5. Step 5: Solve for x
    x = 203,015,213.08/16,170.98
  6. Step 6: Final answer
    x = 12,554.29

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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.