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Finding the Fourth Proportional to 17,254.34, 23,809.64 and 9,699.23

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Solution

The fourth proportional to 17,254.34, 23,809.64 and 9,699.23 is: 13,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,254.34 : 23,809.64 = 9,699.23 : x
  2. Step 2: Convert to fraction form
    17,254.34/23,809.64 = 9,699.23/x
  3. Step 3: Cross multiply
    17,254.34x = 23,809.64 × 9,699.23
  4. Step 4: Simplify right side
    17,254.34x = 230,935,007.03
  5. Step 5: Solve for x
    x = 230,935,007.03/17,254.34
  6. Step 6: Final answer
    x = 13,384.17

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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.