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Finding the Fourth Proportional to 14,282.80, 19,709.30 and 7,908.94

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Solution

The fourth proportional to 14,282.80, 19,709.30 and 7,908.94 is: 10,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.80 : 19,709.30 = 7,908.94 : x
  2. Step 2: Convert to fraction form
    14,282.80/19,709.30 = 7,908.94/x
  3. Step 3: Cross multiply
    14,282.80x = 19,709.30 × 7,908.94
  4. Step 4: Simplify right side
    14,282.80x = 155,879,671.14
  5. Step 5: Solve for x
    x = 155,879,671.14/14,282.80
  6. Step 6: Final answer
    x = 10,913.80

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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.