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Finding the Fourth Proportional to 16,946.70, 23,388.09 and 9,395.48

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Solution

The fourth proportional to 16,946.70, 23,388.09 and 9,395.48 is: 12,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,946.70 : 23,388.09 = 9,395.48 : x
  2. Step 2: Convert to fraction form
    16,946.70/23,388.09 = 9,395.48/x
  3. Step 3: Cross multiply
    16,946.70x = 23,388.09 × 9,395.48
  4. Step 4: Simplify right side
    16,946.70x = 219,742,214.89
  5. Step 5: Solve for x
    x = 219,742,214.89/16,946.70
  6. Step 6: Final answer
    x = 12,966.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.