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Finding the Fourth Proportional to 21,416.80, 32,103.60 and 9,738.40

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Solution

The fourth proportional to 21,416.80, 32,103.60 and 9,738.40 is: 14,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416.80 : 32,103.60 = 9,738.40 : x
  2. Step 2: Convert to fraction form
    21,416.80/32,103.60 = 9,738.40/x
  3. Step 3: Cross multiply
    21,416.80x = 32,103.60 × 9,738.40
  4. Step 4: Simplify right side
    21,416.80x = 312,637,698.24
  5. Step 5: Solve for x
    x = 312,637,698.24/21,416.80
  6. Step 6: Final answer
    x = 14,597.78

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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.