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Finding the Fourth Proportional to 21,980.64, 32,940.24 and 10,264.80

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Solution

The fourth proportional to 21,980.64, 32,940.24 and 10,264.80 is: 15,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.64 : 32,940.24 = 10,264.80 : x
  2. Step 2: Convert to fraction form
    21,980.64/32,940.24 = 10,264.80/x
  3. Step 3: Cross multiply
    21,980.64x = 32,940.24 × 10,264.80
  4. Step 4: Simplify right side
    21,980.64x = 338,124,975.55
  5. Step 5: Solve for x
    x = 338,124,975.55/21,980.64
  6. Step 6: Final answer
    x = 15,382.85

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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.