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Finding the Fourth Proportional to 21,674.42, 32,509.74 and 5,878.88

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Solution

The fourth proportional to 21,674.42, 32,509.74 and 5,878.88 is: 8,817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.42 : 32,509.74 = 5,878.88 : x
  2. Step 2: Convert to fraction form
    21,674.42/32,509.74 = 5,878.88/x
  3. Step 3: Cross multiply
    21,674.42x = 32,509.74 × 5,878.88
  4. Step 4: Simplify right side
    21,674.42x = 191,120,860.29
  5. Step 5: Solve for x
    x = 191,120,860.29/21,674.42
  6. Step 6: Final answer
    x = 8,817.81

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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.