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Finding the Fourth Proportional to 19,705.84, 29,563.71 and 5,854.84

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Solution

The fourth proportional to 19,705.84, 29,563.71 and 5,854.84 is: 8,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.84 : 29,563.71 = 5,854.84 : x
  2. Step 2: Convert to fraction form
    19,705.84/29,563.71 = 5,854.84/x
  3. Step 3: Cross multiply
    19,705.84x = 29,563.71 × 5,854.84
  4. Step 4: Simplify right side
    19,705.84x = 173,090,791.86
  5. Step 5: Solve for x
    x = 173,090,791.86/19,705.84
  6. Step 6: Final answer
    x = 8,783.73

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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.