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Finding the Fourth Proportional to 14,297.06, 19,729.40 and 7,923.48

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Solution

The fourth proportional to 14,297.06, 19,729.40 and 7,923.48 is: 10,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.06 : 19,729.40 = 7,923.48 : x
  2. Step 2: Convert to fraction form
    14,297.06/19,729.40 = 7,923.48/x
  3. Step 3: Cross multiply
    14,297.06x = 19,729.40 × 7,923.48
  4. Step 4: Simplify right side
    14,297.06x = 156,325,506.31
  5. Step 5: Solve for x
    x = 156,325,506.31/14,297.06
  6. Step 6: Final answer
    x = 10,934.10

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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.