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Finding the Fourth Proportional to 12,622.50, 17,419.59 and 7,033.50

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Solution

The fourth proportional to 12,622.50, 17,419.59 and 7,033.50 is: 9,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,622.50 : 17,419.59 = 7,033.50 : x
  2. Step 2: Convert to fraction form
    12,622.50/17,419.59 = 7,033.50/x
  3. Step 3: Cross multiply
    12,622.50x = 17,419.59 × 7,033.50
  4. Step 4: Simplify right side
    12,622.50x = 122,520,686.27
  5. Step 5: Solve for x
    x = 122,520,686.27/12,622.50
  6. Step 6: Final answer
    x = 9,706.53

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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.