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Finding the Fourth Proportional to 19,657.80, 29,486.70 and 15,769.80

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Solution

The fourth proportional to 19,657.80, 29,486.70 and 15,769.80 is: 23,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.80 : 29,486.70 = 15,769.80 : x
  2. Step 2: Convert to fraction form
    19,657.80/29,486.70 = 15,769.80/x
  3. Step 3: Cross multiply
    19,657.80x = 29,486.70 × 15,769.80
  4. Step 4: Simplify right side
    19,657.80x = 464,999,361.66
  5. Step 5: Solve for x
    x = 464,999,361.66/19,657.80
  6. Step 6: Final answer
    x = 23,654.70

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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.