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Finding the Fourth Proportional to 14,565.52, 20,101.77 and 8,193.69

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Solution

The fourth proportional to 14,565.52, 20,101.77 and 8,193.69 is: 11,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.52 : 20,101.77 = 8,193.69 : x
  2. Step 2: Convert to fraction form
    14,565.52/20,101.77 = 8,193.69/x
  3. Step 3: Cross multiply
    14,565.52x = 20,101.77 × 8,193.69
  4. Step 4: Simplify right side
    14,565.52x = 164,707,671.83
  5. Step 5: Solve for x
    x = 164,707,671.83/14,565.52
  6. Step 6: Final answer
    x = 11,308.05

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