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Finding the Fourth Proportional to 17,266.54, 23,828.71 and 9,714.10

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Solution

The fourth proportional to 17,266.54, 23,828.71 and 9,714.10 is: 13,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266.54 : 23,828.71 = 9,714.10 : x
  2. Step 2: Convert to fraction form
    17,266.54/23,828.71 = 9,714.10/x
  3. Step 3: Cross multiply
    17,266.54x = 23,828.71 × 9,714.10
  4. Step 4: Simplify right side
    17,266.54x = 231,474,471.81
  5. Step 5: Solve for x
    x = 231,474,471.81/17,266.54
  6. Step 6: Final answer
    x = 13,405.96

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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.