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Finding the Fourth Proportional to 12,801.44, 19,215.04 and 9,107.84

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Solution

The fourth proportional to 12,801.44, 19,215.04 and 9,107.84 is: 13,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.44 : 19,215.04 = 9,107.84 : x
  2. Step 2: Convert to fraction form
    12,801.44/19,215.04 = 9,107.84/x
  3. Step 3: Cross multiply
    12,801.44x = 19,215.04 × 9,107.84
  4. Step 4: Simplify right side
    12,801.44x = 175,007,509.91
  5. Step 5: Solve for x
    x = 175,007,509.91/12,801.44
  6. Step 6: Final answer
    x = 13,670.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.