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Finding the Fourth Proportional to 21,452.88, 29,602.80 and 12,022.32

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Solution

The fourth proportional to 21,452.88, 29,602.80 and 12,022.32 is: 16,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,452.88 : 29,602.80 = 12,022.32 : x
  2. Step 2: Convert to fraction form
    21,452.88/29,602.80 = 12,022.32/x
  3. Step 3: Cross multiply
    21,452.88x = 29,602.80 × 12,022.32
  4. Step 4: Simplify right side
    21,452.88x = 355,894,334.50
  5. Step 5: Solve for x
    x = 355,894,334.50/21,452.88
  6. Step 6: Final answer
    x = 16,589.58

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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.