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Finding the Fourth Proportional to 17,194.16, 23,719.48 and 10,828.40

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Solution

The fourth proportional to 17,194.16, 23,719.48 and 10,828.40 is: 14,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,194.16 : 23,719.48 = 10,828.40 : x
  2. Step 2: Convert to fraction form
    17,194.16/23,719.48 = 10,828.40/x
  3. Step 3: Cross multiply
    17,194.16x = 23,719.48 × 10,828.40
  4. Step 4: Simplify right side
    17,194.16x = 256,844,017.23
  5. Step 5: Solve for x
    x = 256,844,017.23/17,194.16
  6. Step 6: Final answer
    x = 14,937.86

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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.