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Finding the Fourth Proportional to 12,165.14, 16,787.90 and 7,128.35

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Solution

The fourth proportional to 12,165.14, 16,787.90 and 7,128.35 is: 9,837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.14 : 16,787.90 = 7,128.35 : x
  2. Step 2: Convert to fraction form
    12,165.14/16,787.90 = 7,128.35/x
  3. Step 3: Cross multiply
    12,165.14x = 16,787.90 × 7,128.35
  4. Step 4: Simplify right side
    12,165.14x = 119,670,033.29
  5. Step 5: Solve for x
    x = 119,670,033.29/12,165.14
  6. Step 6: Final answer
    x = 9,837.13

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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.