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Finding the Fourth Proportional to 16,461.90, 24,694.47 and 5,368.14

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Solution

The fourth proportional to 16,461.90, 24,694.47 and 5,368.14 is: 8,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.90 : 24,694.47 = 5,368.14 : x
  2. Step 2: Convert to fraction form
    16,461.90/24,694.47 = 5,368.14/x
  3. Step 3: Cross multiply
    16,461.90x = 24,694.47 × 5,368.14
  4. Step 4: Simplify right side
    16,461.90x = 132,563,372.19
  5. Step 5: Solve for x
    x = 132,563,372.19/16,461.90
  6. Step 6: Final answer
    x = 8,052.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.