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Finding the Fourth Proportional to 19,740.80, 29,578.80 and 16,824.80

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Solution

The fourth proportional to 19,740.80, 29,578.80 and 16,824.80 is: 25,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,740.80 : 29,578.80 = 16,824.80 : x
  2. Step 2: Convert to fraction form
    19,740.80/29,578.80 = 16,824.80/x
  3. Step 3: Cross multiply
    19,740.80x = 29,578.80 × 16,824.80
  4. Step 4: Simplify right side
    19,740.80x = 497,657,394.24
  5. Step 5: Solve for x
    x = 497,657,394.24/19,740.80
  6. Step 6: Final answer
    x = 25,209.59

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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.