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Finding the Fourth Proportional to 19,827.29, 29,739.09 and 7,347.44

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Solution

The fourth proportional to 19,827.29, 29,739.09 and 7,347.44 is: 11,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.29 : 29,739.09 = 7,347.44 : x
  2. Step 2: Convert to fraction form
    19,827.29/29,739.09 = 7,347.44/x
  3. Step 3: Cross multiply
    19,827.29x = 29,739.09 × 7,347.44
  4. Step 4: Simplify right side
    19,827.29x = 218,506,179.43
  5. Step 5: Solve for x
    x = 218,506,179.43/19,827.29
  6. Step 6: Final answer
    x = 11,020.48

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1.5x scale

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.