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Finding the Fourth Proportional to 14,683.77, 22,033.73 and 6,363.86

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Solution

The fourth proportional to 14,683.77, 22,033.73 and 6,363.86 is: 9,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.77 : 22,033.73 = 6,363.86 : x
  2. Step 2: Convert to fraction form
    14,683.77/22,033.73 = 6,363.86/x
  3. Step 3: Cross multiply
    14,683.77x = 22,033.73 × 6,363.86
  4. Step 4: Simplify right side
    14,683.77x = 140,219,478.74
  5. Step 5: Solve for x
    x = 140,219,478.74/14,683.77
  6. Step 6: Final answer
    x = 9,549.28

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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.