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Finding the Fourth Proportional to 17,090, 23,584.68 and 10,374.80

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Solution

The fourth proportional to 17,090, 23,584.68 and 10,374.80 is: 14,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,090 : 23,584.68 = 10,374.80 : x
  2. Step 2: Convert to fraction form
    17,090/23,584.68 = 10,374.80/x
  3. Step 3: Cross multiply
    17,090x = 23,584.68 × 10,374.80
  4. Step 4: Simplify right side
    17,090x = 244,686,338.06
  5. Step 5: Solve for x
    x = 244,686,338.06/17,090
  6. Step 6: Final answer
    x = 14,317.52

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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.