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Finding the Fourth Proportional to 16,873.28, 23,285.16 and 9,421.28

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Solution

The fourth proportional to 16,873.28, 23,285.16 and 9,421.28 is: 13,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,873.28 : 23,285.16 = 9,421.28 : x
  2. Step 2: Convert to fraction form
    16,873.28/23,285.16 = 9,421.28/x
  3. Step 3: Cross multiply
    16,873.28x = 23,285.16 × 9,421.28
  4. Step 4: Simplify right side
    16,873.28x = 219,376,012.20
  5. Step 5: Solve for x
    x = 219,376,012.20/16,873.28
  6. Step 6: Final answer
    x = 13,001.39

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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.