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Finding the Fourth Proportional to 17,619.50, 26,429.25 and 5,307.50

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Solution

The fourth proportional to 17,619.50, 26,429.25 and 5,307.50 is: 7,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,619.50 : 26,429.25 = 5,307.50 : x
  2. Step 2: Convert to fraction form
    17,619.50/26,429.25 = 5,307.50/x
  3. Step 3: Cross multiply
    17,619.50x = 26,429.25 × 5,307.50
  4. Step 4: Simplify right side
    17,619.50x = 140,273,244.38
  5. Step 5: Solve for x
    x = 140,273,244.38/17,619.50
  6. Step 6: Final answer
    x = 7,961.25

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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.