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Finding the Fourth Proportional to 20,435.71, 30,653.63 and 5,644.30

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Solution

The fourth proportional to 20,435.71, 30,653.63 and 5,644.30 is: 8,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,435.71 : 30,653.63 = 5,644.30 : x
  2. Step 2: Convert to fraction form
    20,435.71/30,653.63 = 5,644.30/x
  3. Step 3: Cross multiply
    20,435.71x = 30,653.63 × 5,644.30
  4. Step 4: Simplify right side
    20,435.71x = 173,018,283.81
  5. Step 5: Solve for x
    x = 173,018,283.81/20,435.71
  6. Step 6: Final answer
    x = 8,466.47

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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.