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Finding the Fourth Proportional to 19,830.32, 29,742.28 and 5,787.05

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Solution

The fourth proportional to 19,830.32, 29,742.28 and 5,787.05 is: 8,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.32 : 29,742.28 = 5,787.05 : x
  2. Step 2: Convert to fraction form
    19,830.32/29,742.28 = 5,787.05/x
  3. Step 3: Cross multiply
    19,830.32x = 29,742.28 × 5,787.05
  4. Step 4: Simplify right side
    19,830.32x = 172,119,883.83
  5. Step 5: Solve for x
    x = 172,119,883.83/19,830.32
  6. Step 6: Final answer
    x = 8,679.63

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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.