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Finding the Fourth Proportional to 17,325.80, 25,972.32 and 15,785

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Solution

The fourth proportional to 17,325.80, 25,972.32 and 15,785 is: 23,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,325.80 : 25,972.32 = 15,785 : x
  2. Step 2: Convert to fraction form
    17,325.80/25,972.32 = 15,785/x
  3. Step 3: Cross multiply
    17,325.80x = 25,972.32 × 15,785
  4. Step 4: Simplify right side
    17,325.80x = 409,973,071.20
  5. Step 5: Solve for x
    x = 409,973,071.20/17,325.80
  6. Step 6: Final answer
    x = 23,662.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.