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Finding the Fourth Proportional to 17,152.14, 23,669.76 and 9,598.49

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Solution

The fourth proportional to 17,152.14, 23,669.76 and 9,598.49 is: 13,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,152.14 : 23,669.76 = 9,598.49 : x
  2. Step 2: Convert to fraction form
    17,152.14/23,669.76 = 9,598.49/x
  3. Step 3: Cross multiply
    17,152.14x = 23,669.76 × 9,598.49
  4. Step 4: Simplify right side
    17,152.14x = 227,193,954.66
  5. Step 5: Solve for x
    x = 227,193,954.66/17,152.14
  6. Step 6: Final answer
    x = 13,245.81

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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.