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Finding the Fourth Proportional to 18,033.84, 24,887.25 and 10,076.40

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Solution

The fourth proportional to 18,033.84, 24,887.25 and 10,076.40 is: 13,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,033.84 : 24,887.25 = 10,076.40 : x
  2. Step 2: Convert to fraction form
    18,033.84/24,887.25 = 10,076.40/x
  3. Step 3: Cross multiply
    18,033.84x = 24,887.25 × 10,076.40
  4. Step 4: Simplify right side
    18,033.84x = 250,773,885.90
  5. Step 5: Solve for x
    x = 250,773,885.90/18,033.84
  6. Step 6: Final answer
    x = 13,905.74

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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.