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Finding the Fourth Proportional to 14,641.50, 20,205.27 and 8,017.50

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Solution

The fourth proportional to 14,641.50, 20,205.27 and 8,017.50 is: 11,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.50 : 20,205.27 = 8,017.50 : x
  2. Step 2: Convert to fraction form
    14,641.50/20,205.27 = 8,017.50/x
  3. Step 3: Cross multiply
    14,641.50x = 20,205.27 × 8,017.50
  4. Step 4: Simplify right side
    14,641.50x = 161,995,752.23
  5. Step 5: Solve for x
    x = 161,995,752.23/14,641.50
  6. Step 6: Final answer
    x = 11,064.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.