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Finding the Fourth Proportional to 19,810.78, 27,339.24 and 10,857.76

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Solution

The fourth proportional to 19,810.78, 27,339.24 and 10,857.76 is: 14,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.78 : 27,339.24 = 10,857.76 : x
  2. Step 2: Convert to fraction form
    19,810.78/27,339.24 = 10,857.76/x
  3. Step 3: Cross multiply
    19,810.78x = 27,339.24 × 10,857.76
  4. Step 4: Simplify right side
    19,810.78x = 296,842,906.50
  5. Step 5: Solve for x
    x = 296,842,906.50/19,810.78
  6. Step 6: Final answer
    x = 14,983.91

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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.