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Finding the Fourth Proportional to 17,048.50, 23,527.29 and 9,596.50

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Solution

The fourth proportional to 17,048.50, 23,527.29 and 9,596.50 is: 13,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,048.50 : 23,527.29 = 9,596.50 : x
  2. Step 2: Convert to fraction form
    17,048.50/23,527.29 = 9,596.50/x
  3. Step 3: Cross multiply
    17,048.50x = 23,527.29 × 9,596.50
  4. Step 4: Simplify right side
    17,048.50x = 225,779,638.49
  5. Step 5: Solve for x
    x = 225,779,638.49/17,048.50
  6. Step 6: Final answer
    x = 13,243.37

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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.