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Finding the Fourth Proportional to 14,297.31, 19,729.75 and 7,923.74

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Solution

The fourth proportional to 14,297.31, 19,729.75 and 7,923.74 is: 10,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.31 : 19,729.75 = 7,923.74 : x
  2. Step 2: Convert to fraction form
    14,297.31/19,729.75 = 7,923.74/x
  3. Step 3: Cross multiply
    14,297.31x = 19,729.75 × 7,923.74
  4. Step 4: Simplify right side
    14,297.31x = 156,333,271.00
  5. Step 5: Solve for x
    x = 156,333,271.00/14,297.31
  6. Step 6: Final answer
    x = 10,934.45

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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.