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Finding the Fourth Proportional to 14,696.70, 22,048.85 and 6,374.81

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Solution

The fourth proportional to 14,696.70, 22,048.85 and 6,374.81 is: 9,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.70 : 22,048.85 = 6,374.81 : x
  2. Step 2: Convert to fraction form
    14,696.70/22,048.85 = 6,374.81/x
  3. Step 3: Cross multiply
    14,696.70x = 22,048.85 × 6,374.81
  4. Step 4: Simplify right side
    14,696.70x = 140,557,276.62
  5. Step 5: Solve for x
    x = 140,557,276.62/14,696.70
  6. Step 6: Final answer
    x = 9,563.87

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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.