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Finding the Fourth Proportional to 19,881.16, 29,825.52 and 6,730

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Solution

The fourth proportional to 19,881.16, 29,825.52 and 6,730 is: 10,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881.16 : 29,825.52 = 6,730 : x
  2. Step 2: Convert to fraction form
    19,881.16/29,825.52 = 6,730/x
  3. Step 3: Cross multiply
    19,881.16x = 29,825.52 × 6,730
  4. Step 4: Simplify right side
    19,881.16x = 200,725,749.60
  5. Step 5: Solve for x
    x = 200,725,749.60/19,881.16
  6. Step 6: Final answer
    x = 10,096.28

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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.