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Finding the Fourth Proportional to 16,526.50, 24,778.98 and 5,994.56

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Solution

The fourth proportional to 16,526.50, 24,778.98 and 5,994.56 is: 8,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526.50 : 24,778.98 = 5,994.56 : x
  2. Step 2: Convert to fraction form
    16,526.50/24,778.98 = 5,994.56/x
  3. Step 3: Cross multiply
    16,526.50x = 24,778.98 × 5,994.56
  4. Step 4: Simplify right side
    16,526.50x = 148,539,082.35
  5. Step 5: Solve for x
    x = 148,539,082.35/16,526.50
  6. Step 6: Final answer
    x = 8,987.93

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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.