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Finding the Fourth Proportional to 19,537.02, 29,305.72 and 7,847.50

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Solution

The fourth proportional to 19,537.02, 29,305.72 and 7,847.50 is: 11,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.02 : 29,305.72 = 7,847.50 : x
  2. Step 2: Convert to fraction form
    19,537.02/29,305.72 = 7,847.50/x
  3. Step 3: Cross multiply
    19,537.02x = 29,305.72 × 7,847.50
  4. Step 4: Simplify right side
    19,537.02x = 229,976,637.70
  5. Step 5: Solve for x
    x = 229,976,637.70/19,537.02
  6. Step 6: Final answer
    x = 11,771.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.