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Finding the Fourth Proportional to 17,089.23, 23,583.21 and 9,535.89

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Solution

The fourth proportional to 17,089.23, 23,583.21 and 9,535.89 is: 13,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089.23 : 23,583.21 = 9,535.89 : x
  2. Step 2: Convert to fraction form
    17,089.23/23,583.21 = 9,535.89/x
  3. Step 3: Cross multiply
    17,089.23x = 23,583.21 × 9,535.89
  4. Step 4: Simplify right side
    17,089.23x = 224,886,896.41
  5. Step 5: Solve for x
    x = 224,886,896.41/17,089.23
  6. Step 6: Final answer
    x = 13,159.57

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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.