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Finding the Fourth Proportional to 16,954.41, 23,395.53 and 9,400.39

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Solution

The fourth proportional to 16,954.41, 23,395.53 and 9,400.39 is: 12,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,954.41 : 23,395.53 = 9,400.39 : x
  2. Step 2: Convert to fraction form
    16,954.41/23,395.53 = 9,400.39/x
  3. Step 3: Cross multiply
    16,954.41x = 23,395.53 × 9,400.39
  4. Step 4: Simplify right side
    16,954.41x = 219,927,083.02
  5. Step 5: Solve for x
    x = 219,927,083.02/16,954.41
  6. Step 6: Final answer
    x = 12,971.67

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Why These Related Problems?

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