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Finding the Fourth Proportional to 14,479.14, 19,980.82 and 8,191.38

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Solution

The fourth proportional to 14,479.14, 19,980.82 and 8,191.38 is: 11,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,479.14 : 19,980.82 = 8,191.38 : x
  2. Step 2: Convert to fraction form
    14,479.14/19,980.82 = 8,191.38/x
  3. Step 3: Cross multiply
    14,479.14x = 19,980.82 × 8,191.38
  4. Step 4: Simplify right side
    14,479.14x = 163,670,368.95
  5. Step 5: Solve for x
    x = 163,670,368.95/14,479.14
  6. Step 6: Final answer
    x = 11,303.88

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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.