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Finding the Fourth Proportional to 15,137.85, 22,700.70 and 5,774.67

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Solution

The fourth proportional to 15,137.85, 22,700.70 and 5,774.67 is: 8,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.85 : 22,700.70 = 5,774.67 : x
  2. Step 2: Convert to fraction form
    15,137.85/22,700.70 = 5,774.67/x
  3. Step 3: Cross multiply
    15,137.85x = 22,700.70 × 5,774.67
  4. Step 4: Simplify right side
    15,137.85x = 131,089,051.27
  5. Step 5: Solve for x
    x = 131,089,051.27/15,137.85
  6. Step 6: Final answer
    x = 8,659.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.