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Finding the Fourth Proportional to 21,680.54, 32,523 and 5,885.84

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Solution

The fourth proportional to 21,680.54, 32,523 and 5,885.84 is: 8,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680.54 : 32,523 = 5,885.84 : x
  2. Step 2: Convert to fraction form
    21,680.54/32,523 = 5,885.84/x
  3. Step 3: Cross multiply
    21,680.54x = 32,523 × 5,885.84
  4. Step 4: Simplify right side
    21,680.54x = 191,425,174.32
  5. Step 5: Solve for x
    x = 191,425,174.32/21,680.54
  6. Step 6: Final answer
    x = 8,829.35

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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.