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Finding the Fourth Proportional to 13,285.34, 18,201 and 12,787.10

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Solution

The fourth proportional to 13,285.34, 18,201 and 12,787.10 is: 17,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285.34 : 18,201 = 12,787.10 : x
  2. Step 2: Convert to fraction form
    13,285.34/18,201 = 12,787.10/x
  3. Step 3: Cross multiply
    13,285.34x = 18,201 × 12,787.10
  4. Step 4: Simplify right side
    13,285.34x = 232,738,007.10
  5. Step 5: Solve for x
    x = 232,738,007.10/13,285.34
  6. Step 6: Final answer
    x = 17,518.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.