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Finding the Fourth Proportional to 19,782.50, 29,647.01 and 8,089.34

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Solution

The fourth proportional to 19,782.50, 29,647.01 and 8,089.34 is: 12,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.50 : 29,647.01 = 8,089.34 : x
  2. Step 2: Convert to fraction form
    19,782.50/29,647.01 = 8,089.34/x
  3. Step 3: Cross multiply
    19,782.50x = 29,647.01 × 8,089.34
  4. Step 4: Simplify right side
    19,782.50x = 239,824,615.86
  5. Step 5: Solve for x
    x = 239,824,615.86/19,782.50
  6. Step 6: Final answer
    x = 12,123.07

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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.