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Finding the Fourth Proportional to 16,248.36, 22,424.25 and 9,873.48

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Solution

The fourth proportional to 16,248.36, 22,424.25 and 9,873.48 is: 13,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,248.36 : 22,424.25 = 9,873.48 : x
  2. Step 2: Convert to fraction form
    16,248.36/22,424.25 = 9,873.48/x
  3. Step 3: Cross multiply
    16,248.36x = 22,424.25 × 9,873.48
  4. Step 4: Simplify right side
    16,248.36x = 221,405,383.89
  5. Step 5: Solve for x
    x = 221,405,383.89/16,248.36
  6. Step 6: Final answer
    x = 13,626.32

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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.