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Finding the Fourth Proportional to 17,200.86, 23,736.06 and 9,647.13

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Solution

The fourth proportional to 17,200.86, 23,736.06 and 9,647.13 is: 13,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.86 : 23,736.06 = 9,647.13 : x
  2. Step 2: Convert to fraction form
    17,200.86/23,736.06 = 9,647.13/x
  3. Step 3: Cross multiply
    17,200.86x = 23,736.06 × 9,647.13
  4. Step 4: Simplify right side
    17,200.86x = 228,984,856.51
  5. Step 5: Solve for x
    x = 228,984,856.51/17,200.86
  6. Step 6: Final answer
    x = 13,312.41

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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.