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Finding the Fourth Proportional to 16,465.98, 24,701 and 5,369.70

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Solution

The fourth proportional to 16,465.98, 24,701 and 5,369.70 is: 8,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.98 : 24,701 = 5,369.70 : x
  2. Step 2: Convert to fraction form
    16,465.98/24,701 = 5,369.70/x
  3. Step 3: Cross multiply
    16,465.98x = 24,701 × 5,369.70
  4. Step 4: Simplify right side
    16,465.98x = 132,636,959.70
  5. Step 5: Solve for x
    x = 132,636,959.70/16,465.98
  6. Step 6: Final answer
    x = 8,055.21

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Why These Related Problems?

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