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Finding the Fourth Proportional to 14,461.11, 19,956 and 8,087.79

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Solution

The fourth proportional to 14,461.11, 19,956 and 8,087.79 is: 11,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.11 : 19,956 = 8,087.79 : x
  2. Step 2: Convert to fraction form
    14,461.11/19,956 = 8,087.79/x
  3. Step 3: Cross multiply
    14,461.11x = 19,956 × 8,087.79
  4. Step 4: Simplify right side
    14,461.11x = 161,399,937.24
  5. Step 5: Solve for x
    x = 161,399,937.24/14,461.11
  6. Step 6: Final answer
    x = 11,160.96

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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.