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Finding the Fourth Proportional to 13,297.80, 19,922.70 and 7,746.60

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Solution

The fourth proportional to 13,297.80, 19,922.70 and 7,746.60 is: 11,605.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.80 : 19,922.70 = 7,746.60 : x
  2. Step 2: Convert to fraction form
    13,297.80/19,922.70 = 7,746.60/x
  3. Step 3: Cross multiply
    13,297.80x = 19,922.70 × 7,746.60
  4. Step 4: Simplify right side
    13,297.80x = 154,333,187.82
  5. Step 5: Solve for x
    x = 154,333,187.82/13,297.80
  6. Step 6: Final answer
    x = 11,605.92

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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.