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Finding the Fourth Proportional to 15,226.24, 22,841.98 and 5,230.51

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Solution

The fourth proportional to 15,226.24, 22,841.98 and 5,230.51 is: 7,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226.24 : 22,841.98 = 5,230.51 : x
  2. Step 2: Convert to fraction form
    15,226.24/22,841.98 = 5,230.51/x
  3. Step 3: Cross multiply
    15,226.24x = 22,841.98 × 5,230.51
  4. Step 4: Simplify right side
    15,226.24x = 119,475,204.81
  5. Step 5: Solve for x
    x = 119,475,204.81/15,226.24
  6. Step 6: Final answer
    x = 7,846.67

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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.