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Finding the Fourth Proportional to 14,288.95, 19,716.39 and 8,980

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Solution

The fourth proportional to 14,288.95, 19,716.39 and 8,980 is: 12,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.95 : 19,716.39 = 8,980 : x
  2. Step 2: Convert to fraction form
    14,288.95/19,716.39 = 8,980/x
  3. Step 3: Cross multiply
    14,288.95x = 19,716.39 × 8,980
  4. Step 4: Simplify right side
    14,288.95x = 177,053,182.20
  5. Step 5: Solve for x
    x = 177,053,182.20/14,288.95
  6. Step 6: Final answer
    x = 12,390.92

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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.