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Finding the Fourth Proportional to 19,333.83, 29,004.39 and 6,852.40

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Solution

The fourth proportional to 19,333.83, 29,004.39 and 6,852.40 is: 10,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,333.83 : 29,004.39 = 6,852.40 : x
  2. Step 2: Convert to fraction form
    19,333.83/29,004.39 = 6,852.40/x
  3. Step 3: Cross multiply
    19,333.83x = 29,004.39 × 6,852.40
  4. Step 4: Simplify right side
    19,333.83x = 198,749,682.04
  5. Step 5: Solve for x
    x = 198,749,682.04/19,333.83
  6. Step 6: Final answer
    x = 10,279.89

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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.