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Finding the Fourth Proportional to 14,252.25, 19,667.52 and 8,283.87

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Solution

The fourth proportional to 14,252.25, 19,667.52 and 8,283.87 is: 11,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,252.25 : 19,667.52 = 8,283.87 : x
  2. Step 2: Convert to fraction form
    14,252.25/19,667.52 = 8,283.87/x
  3. Step 3: Cross multiply
    14,252.25x = 19,667.52 × 8,283.87
  4. Step 4: Simplify right side
    14,252.25x = 162,923,178.90
  5. Step 5: Solve for x
    x = 162,923,178.90/14,252.25
  6. Step 6: Final answer
    x = 11,431.40

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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.