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Finding the Fourth Proportional to 19,782.12, 29,650.86 and 8,088.96

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Solution

The fourth proportional to 19,782.12, 29,650.86 and 8,088.96 is: 12,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.12 : 29,650.86 = 8,088.96 : x
  2. Step 2: Convert to fraction form
    19,782.12/29,650.86 = 8,088.96/x
  3. Step 3: Cross multiply
    19,782.12x = 29,650.86 × 8,088.96
  4. Step 4: Simplify right side
    19,782.12x = 239,844,620.51
  5. Step 5: Solve for x
    x = 239,844,620.51/19,782.12
  6. Step 6: Final answer
    x = 12,124.31

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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.