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Finding the Fourth Proportional to 26,247, 39,378.18 and 7,779.48

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Solution

The fourth proportional to 26,247, 39,378.18 and 7,779.48 is: 11,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,247 : 39,378.18 = 7,779.48 : x
  2. Step 2: Convert to fraction form
    26,247/39,378.18 = 7,779.48/x
  3. Step 3: Cross multiply
    26,247x = 39,378.18 × 7,779.48
  4. Step 4: Simplify right side
    26,247x = 306,341,763.75
  5. Step 5: Solve for x
    x = 306,341,763.75/26,247
  6. Step 6: Final answer
    x = 11,671.50

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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.