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Finding the Fourth Proportional to 17,485.10, 24,129.71 and 9,527.31

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Solution

The fourth proportional to 17,485.10, 24,129.71 and 9,527.31 is: 13,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,485.10 : 24,129.71 = 9,527.31 : x
  2. Step 2: Convert to fraction form
    17,485.10/24,129.71 = 9,527.31/x
  3. Step 3: Cross multiply
    17,485.10x = 24,129.71 × 9,527.31
  4. Step 4: Simplify right side
    17,485.10x = 229,891,179.74
  5. Step 5: Solve for x
    x = 229,891,179.74/17,485.10
  6. Step 6: Final answer
    x = 13,147.84

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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.