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Finding the Fourth Proportional to 16,196.76, 22,343.89 and 9,478.22

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Solution

The fourth proportional to 16,196.76, 22,343.89 and 9,478.22 is: 13,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.76 : 22,343.89 = 9,478.22 : x
  2. Step 2: Convert to fraction form
    16,196.76/22,343.89 = 9,478.22/x
  3. Step 3: Cross multiply
    16,196.76x = 22,343.89 × 9,478.22
  4. Step 4: Simplify right side
    16,196.76x = 211,780,337.24
  5. Step 5: Solve for x
    x = 211,780,337.24/16,196.76
  6. Step 6: Final answer
    x = 13,075.48

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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.