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Finding the Fourth Proportional to 21,941.64, 32,915.58 and 8,089.56

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Solution

The fourth proportional to 21,941.64, 32,915.58 and 8,089.56 is: 12,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,941.64 : 32,915.58 = 8,089.56 : x
  2. Step 2: Convert to fraction form
    21,941.64/32,915.58 = 8,089.56/x
  3. Step 3: Cross multiply
    21,941.64x = 32,915.58 × 8,089.56
  4. Step 4: Simplify right side
    21,941.64x = 266,272,559.34
  5. Step 5: Solve for x
    x = 266,272,559.34/21,941.64
  6. Step 6: Final answer
    x = 12,135.49

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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.