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Finding the Fourth Proportional to 14,282.66, 19,709.54 and 7,908.75

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Solution

The fourth proportional to 14,282.66, 19,709.54 and 7,908.75 is: 10,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.66 : 19,709.54 = 7,908.75 : x
  2. Step 2: Convert to fraction form
    14,282.66/19,709.54 = 7,908.75/x
  3. Step 3: Cross multiply
    14,282.66x = 19,709.54 × 7,908.75
  4. Step 4: Simplify right side
    14,282.66x = 155,877,814.59
  5. Step 5: Solve for x
    x = 155,877,814.59/14,282.66
  6. Step 6: Final answer
    x = 10,913.78

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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.