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Finding the Fourth Proportional to 19,883.84, 29,818.38 and 5,840

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Solution

The fourth proportional to 19,883.84, 29,818.38 and 5,840 is: 8,757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.84 : 29,818.38 = 5,840 : x
  2. Step 2: Convert to fraction form
    19,883.84/29,818.38 = 5,840/x
  3. Step 3: Cross multiply
    19,883.84x = 29,818.38 × 5,840
  4. Step 4: Simplify right side
    19,883.84x = 174,139,339.20
  5. Step 5: Solve for x
    x = 174,139,339.20/19,883.84
  6. Step 6: Final answer
    x = 8,757.83

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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.