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Finding the Fourth Proportional to 12,880.24, 17,774.19 and 7,214.90

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Solution

The fourth proportional to 12,880.24, 17,774.19 and 7,214.90 is: 9,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,880.24 : 17,774.19 = 7,214.90 : x
  2. Step 2: Convert to fraction form
    12,880.24/17,774.19 = 7,214.90/x
  3. Step 3: Cross multiply
    12,880.24x = 17,774.19 × 7,214.90
  4. Step 4: Simplify right side
    12,880.24x = 128,238,914.56
  5. Step 5: Solve for x
    x = 128,238,914.56/12,880.24
  6. Step 6: Final answer
    x = 9,956.25

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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.