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Finding the Fourth Proportional to 26,416.50, 39,597.45 and 8,880.42

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Solution

The fourth proportional to 26,416.50, 39,597.45 and 8,880.42 is: 13,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,416.50 : 39,597.45 = 8,880.42 : x
  2. Step 2: Convert to fraction form
    26,416.50/39,597.45 = 8,880.42/x
  3. Step 3: Cross multiply
    26,416.50x = 39,597.45 × 8,880.42
  4. Step 4: Simplify right side
    26,416.50x = 351,641,986.93
  5. Step 5: Solve for x
    x = 351,641,986.93/26,416.50
  6. Step 6: Final answer
    x = 13,311.45

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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.