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Finding the Fourth Proportional to 16,859.63, 23,266.29 and 9,786.51

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Solution

The fourth proportional to 16,859.63, 23,266.29 and 9,786.51 is: 13,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,859.63 : 23,266.29 = 9,786.51 : x
  2. Step 2: Convert to fraction form
    16,859.63/23,266.29 = 9,786.51/x
  3. Step 3: Cross multiply
    16,859.63x = 23,266.29 × 9,786.51
  4. Step 4: Simplify right side
    16,859.63x = 227,695,779.75
  5. Step 5: Solve for x
    x = 227,695,779.75/16,859.63
  6. Step 6: Final answer
    x = 13,505.39

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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.