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Finding the Fourth Proportional to 19,780.71, 27,296.51 and 10,828.59

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Solution

The fourth proportional to 19,780.71, 27,296.51 and 10,828.59 is: 14,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.71 : 27,296.51 = 10,828.59 : x
  2. Step 2: Convert to fraction form
    19,780.71/27,296.51 = 10,828.59/x
  3. Step 3: Cross multiply
    19,780.71x = 27,296.51 × 10,828.59
  4. Step 4: Simplify right side
    19,780.71x = 295,582,661.08
  5. Step 5: Solve for x
    x = 295,582,661.08/19,780.71
  6. Step 6: Final answer
    x = 14,942.98

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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.