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Finding the Fourth Proportional to 16,699.80, 23,047.38 and 9,984.48

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Solution

The fourth proportional to 16,699.80, 23,047.38 and 9,984.48 is: 13,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,699.80 : 23,047.38 = 9,984.48 : x
  2. Step 2: Convert to fraction form
    16,699.80/23,047.38 = 9,984.48/x
  3. Step 3: Cross multiply
    16,699.80x = 23,047.38 × 9,984.48
  4. Step 4: Simplify right side
    16,699.80x = 230,116,104.66
  5. Step 5: Solve for x
    x = 230,116,104.66/16,699.80
  6. Step 6: Final answer
    x = 13,779.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.