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Finding the Fourth Proportional to 13,511.84, 18,646 and 8,787.20

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Solution

The fourth proportional to 13,511.84, 18,646 and 8,787.20 is: 12,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.84 : 18,646 = 8,787.20 : x
  2. Step 2: Convert to fraction form
    13,511.84/18,646 = 8,787.20/x
  3. Step 3: Cross multiply
    13,511.84x = 18,646 × 8,787.20
  4. Step 4: Simplify right side
    13,511.84x = 163,846,131.20
  5. Step 5: Solve for x
    x = 163,846,131.20/13,511.84
  6. Step 6: Final answer
    x = 12,126.12

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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.