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Finding the Fourth Proportional to 14,297.79, 19,731.74 and 7,924.25

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Solution

The fourth proportional to 14,297.79, 19,731.74 and 7,924.25 is: 10,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.79 : 19,731.74 = 7,924.25 : x
  2. Step 2: Convert to fraction form
    14,297.79/19,731.74 = 7,924.25/x
  3. Step 3: Cross multiply
    14,297.79x = 19,731.74 × 7,924.25
  4. Step 4: Simplify right side
    14,297.79x = 156,359,240.70
  5. Step 5: Solve for x
    x = 156,359,240.70/14,297.79
  6. Step 6: Final answer
    x = 10,935.90

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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.