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Finding the Fourth Proportional to 21,776.80, 32,643.60 and 10,069.60

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Solution

The fourth proportional to 21,776.80, 32,643.60 and 10,069.60 is: 15,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,776.80 : 32,643.60 = 10,069.60 : x
  2. Step 2: Convert to fraction form
    21,776.80/32,643.60 = 10,069.60/x
  3. Step 3: Cross multiply
    21,776.80x = 32,643.60 × 10,069.60
  4. Step 4: Simplify right side
    21,776.80x = 328,707,994.56
  5. Step 5: Solve for x
    x = 328,707,994.56/21,776.80
  6. Step 6: Final answer
    x = 15,094.41

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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.