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Finding the Fourth Proportional to 16,948, 23,388.24 and 10,324

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Solution

The fourth proportional to 16,948, 23,388.24 and 10,324 is: 14,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,948 : 23,388.24 = 10,324 : x
  2. Step 2: Convert to fraction form
    16,948/23,388.24 = 10,324/x
  3. Step 3: Cross multiply
    16,948x = 23,388.24 × 10,324
  4. Step 4: Simplify right side
    16,948x = 241,460,189.76
  5. Step 5: Solve for x
    x = 241,460,189.76/16,948
  6. Step 6: Final answer
    x = 14,247.12

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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.