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Finding the Fourth Proportional to 19,892.93, 29,852.81 and 8,205.89

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Solution

The fourth proportional to 19,892.93, 29,852.81 and 8,205.89 is: 12,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892.93 : 29,852.81 = 8,205.89 : x
  2. Step 2: Convert to fraction form
    19,892.93/29,852.81 = 8,205.89/x
  3. Step 3: Cross multiply
    19,892.93x = 29,852.81 × 8,205.89
  4. Step 4: Simplify right side
    19,892.93x = 244,968,684.76
  5. Step 5: Solve for x
    x = 244,968,684.76/19,892.93
  6. Step 6: Final answer
    x = 12,314.36

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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.