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Finding the Fourth Proportional to 19,780.97, 27,298.00 and 10,828.28

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Solution

The fourth proportional to 19,780.97, 27,298.00 and 10,828.28 is: 14,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.97 : 27,298.00 = 10,828.28 : x
  2. Step 2: Convert to fraction form
    19,780.97/27,298.00 = 10,828.28/x
  3. Step 3: Cross multiply
    19,780.97x = 27,298.00 × 10,828.28
  4. Step 4: Simplify right side
    19,780.97x = 295,590,196.81
  5. Step 5: Solve for x
    x = 295,590,196.81/19,780.97
  6. Step 6: Final answer
    x = 14,943.16

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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.