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Finding the Fourth Proportional to 21,714.94, 32,569.62 and 9,232.66

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Solution

The fourth proportional to 21,714.94, 32,569.62 and 9,232.66 is: 13,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.94 : 32,569.62 = 9,232.66 : x
  2. Step 2: Convert to fraction form
    21,714.94/32,569.62 = 9,232.66/x
  3. Step 3: Cross multiply
    21,714.94x = 32,569.62 × 9,232.66
  4. Step 4: Simplify right side
    21,714.94x = 300,704,227.79
  5. Step 5: Solve for x
    x = 300,704,227.79/21,714.94
  6. Step 6: Final answer
    x = 13,847.80

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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.