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Finding the Fourth Proportional to 15,854.96, 23,785.94 and 5,994.34

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Solution

The fourth proportional to 15,854.96, 23,785.94 and 5,994.34 is: 8,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.96 : 23,785.94 = 5,994.34 : x
  2. Step 2: Convert to fraction form
    15,854.96/23,785.94 = 5,994.34/x
  3. Step 3: Cross multiply
    15,854.96x = 23,785.94 × 5,994.34
  4. Step 4: Simplify right side
    15,854.96x = 142,580,967.10
  5. Step 5: Solve for x
    x = 142,580,967.10/15,854.96
  6. Step 6: Final answer
    x = 8,992.83

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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.