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Finding the Fourth Proportional to 14,131.84, 19,502.16 and 8,164.72

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Solution

The fourth proportional to 14,131.84, 19,502.16 and 8,164.72 is: 11,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.84 : 19,502.16 = 8,164.72 : x
  2. Step 2: Convert to fraction form
    14,131.84/19,502.16 = 8,164.72/x
  3. Step 3: Cross multiply
    14,131.84x = 19,502.16 × 8,164.72
  4. Step 4: Simplify right side
    14,131.84x = 159,229,675.80
  5. Step 5: Solve for x
    x = 159,229,675.80/14,131.84
  6. Step 6: Final answer
    x = 11,267.44

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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.