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Finding the Fourth Proportional to 14,340.14, 19,787.16 and 8,051.30

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Solution

The fourth proportional to 14,340.14, 19,787.16 and 8,051.30 is: 11,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340.14 : 19,787.16 = 8,051.30 : x
  2. Step 2: Convert to fraction form
    14,340.14/19,787.16 = 8,051.30/x
  3. Step 3: Cross multiply
    14,340.14x = 19,787.16 × 8,051.30
  4. Step 4: Simplify right side
    14,340.14x = 159,312,361.31
  5. Step 5: Solve for x
    x = 159,312,361.31/14,340.14
  6. Step 6: Final answer
    x = 11,109.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.