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Finding the Fourth Proportional to 22,241.40, 30,685.68 and 12,809.76

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Solution

The fourth proportional to 22,241.40, 30,685.68 and 12,809.76 is: 17,673.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,241.40 : 30,685.68 = 12,809.76 : x
  2. Step 2: Convert to fraction form
    22,241.40/30,685.68 = 12,809.76/x
  3. Step 3: Cross multiply
    22,241.40x = 30,685.68 × 12,809.76
  4. Step 4: Simplify right side
    22,241.40x = 393,076,196.24
  5. Step 5: Solve for x
    x = 393,076,196.24/22,241.40
  6. Step 6: Final answer
    x = 17,673.18

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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.