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Finding the Fourth Proportional to 17,368.30, 23,967.12 and 11,080

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Solution

The fourth proportional to 17,368.30, 23,967.12 and 11,080 is: 15,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,368.30 : 23,967.12 = 11,080 : x
  2. Step 2: Convert to fraction form
    17,368.30/23,967.12 = 11,080/x
  3. Step 3: Cross multiply
    17,368.30x = 23,967.12 × 11,080
  4. Step 4: Simplify right side
    17,368.30x = 265,555,689.60
  5. Step 5: Solve for x
    x = 265,555,689.60/17,368.30
  6. Step 6: Final answer
    x = 15,289.68

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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.