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Finding the Fourth Proportional to 26,205.16, 39,313.88 and 8,674.98

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Solution

The fourth proportional to 26,205.16, 39,313.88 and 8,674.98 is: 13,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205.16 : 39,313.88 = 8,674.98 : x
  2. Step 2: Convert to fraction form
    26,205.16/39,313.88 = 8,674.98/x
  3. Step 3: Cross multiply
    26,205.16x = 39,313.88 × 8,674.98
  4. Step 4: Simplify right side
    26,205.16x = 341,047,122.72
  5. Step 5: Solve for x
    x = 341,047,122.72/26,205.16
  6. Step 6: Final answer
    x = 13,014.50

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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.