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Finding the Fourth Proportional to 14,715, 20,307.02 and 8,091

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Solution

The fourth proportional to 14,715, 20,307.02 and 8,091 is: 11,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,715 : 20,307.02 = 8,091 : x
  2. Step 2: Convert to fraction form
    14,715/20,307.02 = 8,091/x
  3. Step 3: Cross multiply
    14,715x = 20,307.02 × 8,091
  4. Step 4: Simplify right side
    14,715x = 164,304,098.82
  5. Step 5: Solve for x
    x = 164,304,098.82/14,715
  6. Step 6: Final answer
    x = 11,165.76

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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.