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Finding the Fourth Proportional to 21,858.40, 32,780.40 and 8,005.60

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Solution

The fourth proportional to 21,858.40, 32,780.40 and 8,005.60 is: 12,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,858.40 : 32,780.40 = 8,005.60 : x
  2. Step 2: Convert to fraction form
    21,858.40/32,780.40 = 8,005.60/x
  3. Step 3: Cross multiply
    21,858.40x = 32,780.40 × 8,005.60
  4. Step 4: Simplify right side
    21,858.40x = 262,426,770.24
  5. Step 5: Solve for x
    x = 262,426,770.24/21,858.40
  6. Step 6: Final answer
    x = 12,005.76

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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.