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Finding the Fourth Proportional to 13,768.63, 19,000.79 and 8,103.58

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Solution

The fourth proportional to 13,768.63, 19,000.79 and 8,103.58 is: 11,182.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.63 : 19,000.79 = 8,103.58 : x
  2. Step 2: Convert to fraction form
    13,768.63/19,000.79 = 8,103.58/x
  3. Step 3: Cross multiply
    13,768.63x = 19,000.79 × 8,103.58
  4. Step 4: Simplify right side
    13,768.63x = 153,974,421.83
  5. Step 5: Solve for x
    x = 153,974,421.83/13,768.63
  6. Step 6: Final answer
    x = 11,182.99

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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.