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Finding the Fourth Proportional to 21,576, 29,766.80 and 12,620.64

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Solution

The fourth proportional to 21,576, 29,766.80 and 12,620.64 is: 17,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,576 : 29,766.80 = 12,620.64 : x
  2. Step 2: Convert to fraction form
    21,576/29,766.80 = 12,620.64/x
  3. Step 3: Cross multiply
    21,576x = 29,766.80 × 12,620.64
  4. Step 4: Simplify right side
    21,576x = 375,676,066.75
  5. Step 5: Solve for x
    x = 375,676,066.75/21,576
  6. Step 6: Final answer
    x = 17,411.76

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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.