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Finding the Fourth Proportional to 19,842.10, 29,714.55 and 9,441.70

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Solution

The fourth proportional to 19,842.10, 29,714.55 and 9,441.70 is: 14,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.10 : 29,714.55 = 9,441.70 : x
  2. Step 2: Convert to fraction form
    19,842.10/29,714.55 = 9,441.70/x
  3. Step 3: Cross multiply
    19,842.10x = 29,714.55 × 9,441.70
  4. Step 4: Simplify right side
    19,842.10x = 280,555,866.74
  5. Step 5: Solve for x
    x = 280,555,866.74/19,842.10
  6. Step 6: Final answer
    x = 14,139.42

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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.