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Finding the Fourth Proportional to 14,288.40, 19,708.52 and 11,299.50

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Solution

The fourth proportional to 14,288.40, 19,708.52 and 11,299.50 is: 15,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.40 : 19,708.52 = 11,299.50 : x
  2. Step 2: Convert to fraction form
    14,288.40/19,708.52 = 11,299.50/x
  3. Step 3: Cross multiply
    14,288.40x = 19,708.52 × 11,299.50
  4. Step 4: Simplify right side
    14,288.40x = 222,696,365.24
  5. Step 5: Solve for x
    x = 222,696,365.24/14,288.40
  6. Step 6: Final answer
    x = 15,585.82

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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.