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Finding the Fourth Proportional to 15,206.89, 22,811.34 and 7,311.07

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Solution

The fourth proportional to 15,206.89, 22,811.34 and 7,311.07 is: 10,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.89 : 22,811.34 = 7,311.07 : x
  2. Step 2: Convert to fraction form
    15,206.89/22,811.34 = 7,311.07/x
  3. Step 3: Cross multiply
    15,206.89x = 22,811.34 × 7,311.07
  4. Step 4: Simplify right side
    15,206.89x = 166,775,303.53
  5. Step 5: Solve for x
    x = 166,775,303.53/15,206.89
  6. Step 6: Final answer
    x = 10,967.09

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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.