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Finding the Fourth Proportional to 26,130.93, 39,197.89 and 7,409.50

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Solution

The fourth proportional to 26,130.93, 39,197.89 and 7,409.50 is: 11,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,130.93 : 39,197.89 = 7,409.50 : x
  2. Step 2: Convert to fraction form
    26,130.93/39,197.89 = 7,409.50/x
  3. Step 3: Cross multiply
    26,130.93x = 39,197.89 × 7,409.50
  4. Step 4: Simplify right side
    26,130.93x = 290,436,765.96
  5. Step 5: Solve for x
    x = 290,436,765.96/26,130.93
  6. Step 6: Final answer
    x = 11,114.67

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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.