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Finding the Fourth Proportional to 22,785.70, 34,166.40 and 9,623.20

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Solution

The fourth proportional to 22,785.70, 34,166.40 and 9,623.20 is: 14,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,785.70 : 34,166.40 = 9,623.20 : x
  2. Step 2: Convert to fraction form
    22,785.70/34,166.40 = 9,623.20/x
  3. Step 3: Cross multiply
    22,785.70x = 34,166.40 × 9,623.20
  4. Step 4: Simplify right side
    22,785.70x = 328,790,100.48
  5. Step 5: Solve for x
    x = 328,790,100.48/22,785.70
  6. Step 6: Final answer
    x = 14,429.67

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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.