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Finding the Fourth Proportional to 16,904, 23,328.60 and 9,452

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Solution

The fourth proportional to 16,904, 23,328.60 and 9,452 is: 13,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,904 : 23,328.60 = 9,452 : x
  2. Step 2: Convert to fraction form
    16,904/23,328.60 = 9,452/x
  3. Step 3: Cross multiply
    16,904x = 23,328.60 × 9,452
  4. Step 4: Simplify right side
    16,904x = 220,501,927.20
  5. Step 5: Solve for x
    x = 220,501,927.20/16,904
  6. Step 6: Final answer
    x = 13,044.36

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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.