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Finding the Fourth Proportional to 17,534.63, 24,194.57 and 9,980.51

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Solution

The fourth proportional to 17,534.63, 24,194.57 and 9,980.51 is: 13,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.63 : 24,194.57 = 9,980.51 : x
  2. Step 2: Convert to fraction form
    17,534.63/24,194.57 = 9,980.51/x
  3. Step 3: Cross multiply
    17,534.63x = 24,194.57 × 9,980.51
  4. Step 4: Simplify right side
    17,534.63x = 241,474,233.27
  5. Step 5: Solve for x
    x = 241,474,233.27/17,534.63
  6. Step 6: Final answer
    x = 13,771.28

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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.