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Finding the Fourth Proportional to 19,749.66, 29,624.46 and 9,879

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Solution

The fourth proportional to 19,749.66, 29,624.46 and 9,879 is: 14,818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,749.66 : 29,624.46 = 9,879 : x
  2. Step 2: Convert to fraction form
    19,749.66/29,624.46 = 9,879/x
  3. Step 3: Cross multiply
    19,749.66x = 29,624.46 × 9,879
  4. Step 4: Simplify right side
    19,749.66x = 292,660,040.34
  5. Step 5: Solve for x
    x = 292,660,040.34/19,749.66
  6. Step 6: Final answer
    x = 14,818.48

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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.