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Finding the Fourth Proportional to 14,252.52, 19,666.79 and 8,283.23

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Solution

The fourth proportional to 14,252.52, 19,666.79 and 8,283.23 is: 11,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,252.52 : 19,666.79 = 8,283.23 : x
  2. Step 2: Convert to fraction form
    14,252.52/19,666.79 = 8,283.23/x
  3. Step 3: Cross multiply
    14,252.52x = 19,666.79 × 8,283.23
  4. Step 4: Simplify right side
    14,252.52x = 162,904,405.18
  5. Step 5: Solve for x
    x = 162,904,405.18/14,252.52
  6. Step 6: Final answer
    x = 11,429.87

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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.