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Finding the Fourth Proportional to 12,522.50, 17,282.67 and 7,219.02

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Solution

The fourth proportional to 12,522.50, 17,282.67 and 7,219.02 is: 9,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.50 : 17,282.67 = 7,219.02 : x
  2. Step 2: Convert to fraction form
    12,522.50/17,282.67 = 7,219.02/x
  3. Step 3: Cross multiply
    12,522.50x = 17,282.67 × 7,219.02
  4. Step 4: Simplify right side
    12,522.50x = 124,763,978.12
  5. Step 5: Solve for x
    x = 124,763,978.12/12,522.50
  6. Step 6: Final answer
    x = 9,963.19

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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.