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Finding the Fourth Proportional to 14,642.08, 20,205.34 and 8,269.40

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Solution

The fourth proportional to 14,642.08, 20,205.34 and 8,269.40 is: 11,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.08 : 20,205.34 = 8,269.40 : x
  2. Step 2: Convert to fraction form
    14,642.08/20,205.34 = 8,269.40/x
  3. Step 3: Cross multiply
    14,642.08x = 20,205.34 × 8,269.40
  4. Step 4: Simplify right side
    14,642.08x = 167,086,038.60
  5. Step 5: Solve for x
    x = 167,086,038.60/14,642.08
  6. Step 6: Final answer
    x = 11,411.36

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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.