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Finding the Fourth Proportional to 15,778.80, 21,830.04 and 15,433.20

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Solution

The fourth proportional to 15,778.80, 21,830.04 and 15,433.20 is: 21,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.80 : 21,830.04 = 15,433.20 : x
  2. Step 2: Convert to fraction form
    15,778.80/21,830.04 = 15,433.20/x
  3. Step 3: Cross multiply
    15,778.80x = 21,830.04 × 15,433.20
  4. Step 4: Simplify right side
    15,778.80x = 336,907,373.33
  5. Step 5: Solve for x
    x = 336,907,373.33/15,778.80
  6. Step 6: Final answer
    x = 21,351.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.