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Finding the Fourth Proportional to 13,766.64, 19,001.72 and 8,103.21

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Solution

The fourth proportional to 13,766.64, 19,001.72 and 8,103.21 is: 11,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.64 : 19,001.72 = 8,103.21 : x
  2. Step 2: Convert to fraction form
    13,766.64/19,001.72 = 8,103.21/x
  3. Step 3: Cross multiply
    13,766.64x = 19,001.72 × 8,103.21
  4. Step 4: Simplify right side
    13,766.64x = 153,974,927.52
  5. Step 5: Solve for x
    x = 153,974,927.52/13,766.64
  6. Step 6: Final answer
    x = 11,184.64

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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.