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Finding the Fourth Proportional to 19,782.74, 29,674.16 and 4,991.66

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Solution

The fourth proportional to 19,782.74, 29,674.16 and 4,991.66 is: 7,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.74 : 29,674.16 = 4,991.66 : x
  2. Step 2: Convert to fraction form
    19,782.74/29,674.16 = 4,991.66/x
  3. Step 3: Cross multiply
    19,782.74x = 29,674.16 × 4,991.66
  4. Step 4: Simplify right side
    19,782.74x = 148,123,144.18
  5. Step 5: Solve for x
    x = 148,123,144.18/19,782.74
  6. Step 6: Final answer
    x = 7,487.50

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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.