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Finding the Fourth Proportional to 17,089.70, 23,583.74 and 9,535.57

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Solution

The fourth proportional to 17,089.70, 23,583.74 and 9,535.57 is: 13,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089.70 : 23,583.74 = 9,535.57 : x
  2. Step 2: Convert to fraction form
    17,089.70/23,583.74 = 9,535.57/x
  3. Step 3: Cross multiply
    17,089.70x = 23,583.74 × 9,535.57
  4. Step 4: Simplify right side
    17,089.70x = 224,884,368.51
  5. Step 5: Solve for x
    x = 224,884,368.51/17,089.70
  6. Step 6: Final answer
    x = 13,159.06

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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.