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Finding the Fourth Proportional to 19,780.64, 29,671.08 and 8,093.86

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Solution

The fourth proportional to 19,780.64, 29,671.08 and 8,093.86 is: 12,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.64 : 29,671.08 = 8,093.86 : x
  2. Step 2: Convert to fraction form
    19,780.64/29,671.08 = 8,093.86/x
  3. Step 3: Cross multiply
    19,780.64x = 29,671.08 × 8,093.86
  4. Step 4: Simplify right side
    19,780.64x = 240,153,567.57
  5. Step 5: Solve for x
    x = 240,153,567.57/19,780.64
  6. Step 6: Final answer
    x = 12,140.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.