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Finding the Fourth Proportional to 17,307.82, 23,883.87 and 9,754.16

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Solution

The fourth proportional to 17,307.82, 23,883.87 and 9,754.16 is: 13,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,307.82 : 23,883.87 = 9,754.16 : x
  2. Step 2: Convert to fraction form
    17,307.82/23,883.87 = 9,754.16/x
  3. Step 3: Cross multiply
    17,307.82x = 23,883.87 × 9,754.16
  4. Step 4: Simplify right side
    17,307.82x = 232,967,089.40
  5. Step 5: Solve for x
    x = 232,967,089.40/17,307.82
  6. Step 6: Final answer
    x = 13,460.22

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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.