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Finding the Fourth Proportional to 16,638.41, 22,952.71 and 9,919.30

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Solution

The fourth proportional to 16,638.41, 22,952.71 and 9,919.30 is: 13,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638.41 : 22,952.71 = 9,919.30 : x
  2. Step 2: Convert to fraction form
    16,638.41/22,952.71 = 9,919.30/x
  3. Step 3: Cross multiply
    16,638.41x = 22,952.71 × 9,919.30
  4. Step 4: Simplify right side
    16,638.41x = 227,674,816.30
  5. Step 5: Solve for x
    x = 227,674,816.30/16,638.41
  6. Step 6: Final answer
    x = 13,683.69

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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.