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Finding the Fourth Proportional to 19,783.12, 29,652.36 and 8,089.96

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Solution

The fourth proportional to 19,783.12, 29,652.36 and 8,089.96 is: 12,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.12 : 29,652.36 = 8,089.96 : x
  2. Step 2: Convert to fraction form
    19,783.12/29,652.36 = 8,089.96/x
  3. Step 3: Cross multiply
    19,783.12x = 29,652.36 × 8,089.96
  4. Step 4: Simplify right side
    19,783.12x = 239,886,406.31
  5. Step 5: Solve for x
    x = 239,886,406.31/19,783.12
  6. Step 6: Final answer
    x = 12,125.81

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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.