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Finding the Fourth Proportional to 14,284.32, 21,434.64 and 8,452.32

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Solution

The fourth proportional to 14,284.32, 21,434.64 and 8,452.32 is: 12,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.32 : 21,434.64 = 8,452.32 : x
  2. Step 2: Convert to fraction form
    14,284.32/21,434.64 = 8,452.32/x
  3. Step 3: Cross multiply
    14,284.32x = 21,434.64 × 8,452.32
  4. Step 4: Simplify right side
    14,284.32x = 181,172,436.36
  5. Step 5: Solve for x
    x = 181,172,436.36/14,284.32
  6. Step 6: Final answer
    x = 12,683.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.