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Finding the Fourth Proportional to 16,689.10, 25,033.14 and 4,209.19

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Solution

The fourth proportional to 16,689.10, 25,033.14 and 4,209.19 is: 6,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689.10 : 25,033.14 = 4,209.19 : x
  2. Step 2: Convert to fraction form
    16,689.10/25,033.14 = 4,209.19/x
  3. Step 3: Cross multiply
    16,689.10x = 25,033.14 × 4,209.19
  4. Step 4: Simplify right side
    16,689.10x = 105,369,242.56
  5. Step 5: Solve for x
    x = 105,369,242.56/16,689.10
  6. Step 6: Final answer
    x = 6,313.66

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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.