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Finding the Fourth Proportional to 19,705.76, 29,563.52 and 5,854.72

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Solution

The fourth proportional to 19,705.76, 29,563.52 and 5,854.72 is: 8,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.76 : 29,563.52 = 5,854.72 : x
  2. Step 2: Convert to fraction form
    19,705.76/29,563.52 = 5,854.72/x
  3. Step 3: Cross multiply
    19,705.76x = 29,563.52 × 5,854.72
  4. Step 4: Simplify right side
    19,705.76x = 173,086,131.81
  5. Step 5: Solve for x
    x = 173,086,131.81/19,705.76
  6. Step 6: Final answer
    x = 8,783.53

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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.