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Finding the Fourth Proportional to 19,773.54, 29,643.57 and 8,671.83

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Solution

The fourth proportional to 19,773.54, 29,643.57 and 8,671.83 is: 13,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.54 : 29,643.57 = 8,671.83 : x
  2. Step 2: Convert to fraction form
    19,773.54/29,643.57 = 8,671.83/x
  3. Step 3: Cross multiply
    19,773.54x = 29,643.57 × 8,671.83
  4. Step 4: Simplify right side
    19,773.54x = 257,063,999.63
  5. Step 5: Solve for x
    x = 257,063,999.63/19,773.54
  6. Step 6: Final answer
    x = 13,000.40

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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.