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Finding the Fourth Proportional to 16,782.06, 23,162.31 and 9,709.14

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Solution

The fourth proportional to 16,782.06, 23,162.31 and 9,709.14 is: 13,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.06 : 23,162.31 = 9,709.14 : x
  2. Step 2: Convert to fraction form
    16,782.06/23,162.31 = 9,709.14/x
  3. Step 3: Cross multiply
    16,782.06x = 23,162.31 × 9,709.14
  4. Step 4: Simplify right side
    16,782.06x = 224,886,110.51
  5. Step 5: Solve for x
    x = 224,886,110.51/16,782.06
  6. Step 6: Final answer
    x = 13,400.39

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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.