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Finding the Fourth Proportional to 17,089.68, 23,583.80 and 9,535.84

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Solution

The fourth proportional to 17,089.68, 23,583.80 and 9,535.84 is: 13,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089.68 : 23,583.80 = 9,535.84 : x
  2. Step 2: Convert to fraction form
    17,089.68/23,583.80 = 9,535.84/x
  3. Step 3: Cross multiply
    17,089.68x = 23,583.80 × 9,535.84
  4. Step 4: Simplify right side
    17,089.68x = 224,891,343.39
  5. Step 5: Solve for x
    x = 224,891,343.39/17,089.68
  6. Step 6: Final answer
    x = 13,159.48

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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.