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Finding the Fourth Proportional to 16,689.69, 25,034.29 and 4,209.63

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Solution

The fourth proportional to 16,689.69, 25,034.29 and 4,209.63 is: 6,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689.69 : 25,034.29 = 4,209.63 : x
  2. Step 2: Convert to fraction form
    16,689.69/25,034.29 = 4,209.63/x
  3. Step 3: Cross multiply
    16,689.69x = 25,034.29 × 4,209.63
  4. Step 4: Simplify right side
    16,689.69x = 105,385,098.21
  5. Step 5: Solve for x
    x = 105,385,098.21/16,689.69
  6. Step 6: Final answer
    x = 6,314.38

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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.