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Finding the Fourth Proportional to 15,274.38, 22,891.05 and 6,506.94

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Solution

The fourth proportional to 15,274.38, 22,891.05 and 6,506.94 is: 9,751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,274.38 : 22,891.05 = 6,506.94 : x
  2. Step 2: Convert to fraction form
    15,274.38/22,891.05 = 6,506.94/x
  3. Step 3: Cross multiply
    15,274.38x = 22,891.05 × 6,506.94
  4. Step 4: Simplify right side
    15,274.38x = 148,950,688.89
  5. Step 5: Solve for x
    x = 148,950,688.89/15,274.38
  6. Step 6: Final answer
    x = 9,751.67

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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.