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Finding the Fourth Proportional to 20,463.84, 30,695.40 and 5,671.08

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Solution

The fourth proportional to 20,463.84, 30,695.40 and 5,671.08 is: 8,506.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,463.84 : 30,695.40 = 5,671.08 : x
  2. Step 2: Convert to fraction form
    20,463.84/30,695.40 = 5,671.08/x
  3. Step 3: Cross multiply
    20,463.84x = 30,695.40 × 5,671.08
  4. Step 4: Simplify right side
    20,463.84x = 174,076,069.03
  5. Step 5: Solve for x
    x = 174,076,069.03/20,463.84
  6. Step 6: Final answer
    x = 8,506.52

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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.