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Finding the Fourth Proportional to 17,259.24, 23,817 and 9,705.72

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Solution

The fourth proportional to 17,259.24, 23,817 and 9,705.72 is: 13,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,259.24 : 23,817 = 9,705.72 : x
  2. Step 2: Convert to fraction form
    17,259.24/23,817 = 9,705.72/x
  3. Step 3: Cross multiply
    17,259.24x = 23,817 × 9,705.72
  4. Step 4: Simplify right side
    17,259.24x = 231,161,133.24
  5. Step 5: Solve for x
    x = 231,161,133.24/17,259.24
  6. Step 6: Final answer
    x = 13,393.47

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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.