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Finding the Fourth Proportional to 14,224.34, 19,629.54 and 7,936.71

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Solution

The fourth proportional to 14,224.34, 19,629.54 and 7,936.71 is: 10,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.34 : 19,629.54 = 7,936.71 : x
  2. Step 2: Convert to fraction form
    14,224.34/19,629.54 = 7,936.71/x
  3. Step 3: Cross multiply
    14,224.34x = 19,629.54 × 7,936.71
  4. Step 4: Simplify right side
    14,224.34x = 155,793,966.41
  5. Step 5: Solve for x
    x = 155,793,966.41/14,224.34
  6. Step 6: Final answer
    x = 10,952.64

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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.