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Finding the Fourth Proportional to 16,853.80, 23,254.68 and 9,779.32

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Solution

The fourth proportional to 16,853.80, 23,254.68 and 9,779.32 is: 13,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.80 : 23,254.68 = 9,779.32 : x
  2. Step 2: Convert to fraction form
    16,853.80/23,254.68 = 9,779.32/x
  3. Step 3: Cross multiply
    16,853.80x = 23,254.68 × 9,779.32
  4. Step 4: Simplify right side
    16,853.80x = 227,414,957.22
  5. Step 5: Solve for x
    x = 227,414,957.22/16,853.80
  6. Step 6: Final answer
    x = 13,493.39

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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.