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Finding the Fourth Proportional to 19,703.63, 29,555.46 and 5,852.63

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Solution

The fourth proportional to 19,703.63, 29,555.46 and 5,852.63 is: 8,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703.63 : 29,555.46 = 5,852.63 : x
  2. Step 2: Convert to fraction form
    19,703.63/29,555.46 = 5,852.63/x
  3. Step 3: Cross multiply
    19,703.63x = 29,555.46 × 5,852.63
  4. Step 4: Simplify right side
    19,703.63x = 172,977,024.08
  5. Step 5: Solve for x
    x = 172,977,024.08/19,703.63
  6. Step 6: Final answer
    x = 8,778.94

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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.