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Finding the Fourth Proportional to 12,969.88, 19,450.74 and 4,202.76

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Solution

The fourth proportional to 12,969.88, 19,450.74 and 4,202.76 is: 6,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.88 : 19,450.74 = 4,202.76 : x
  2. Step 2: Convert to fraction form
    12,969.88/19,450.74 = 4,202.76/x
  3. Step 3: Cross multiply
    12,969.88x = 19,450.74 × 4,202.76
  4. Step 4: Simplify right side
    12,969.88x = 81,746,792.04
  5. Step 5: Solve for x
    x = 81,746,792.04/12,969.88
  6. Step 6: Final answer
    x = 6,302.82

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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.