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Finding the Fourth Proportional to 14,307.66, 19,744.47 and 8,020.04

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Solution

The fourth proportional to 14,307.66, 19,744.47 and 8,020.04 is: 11,067.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.66 : 19,744.47 = 8,020.04 : x
  2. Step 2: Convert to fraction form
    14,307.66/19,744.47 = 8,020.04/x
  3. Step 3: Cross multiply
    14,307.66x = 19,744.47 × 8,020.04
  4. Step 4: Simplify right side
    14,307.66x = 158,351,340.46
  5. Step 5: Solve for x
    x = 158,351,340.46/14,307.66
  6. Step 6: Final answer
    x = 11,067.59

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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.