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Finding the Fourth Proportional to 19,824.78, 27,354.06 and 13,456.30

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Solution

The fourth proportional to 19,824.78, 27,354.06 and 13,456.30 is: 18,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.78 : 27,354.06 = 13,456.30 : x
  2. Step 2: Convert to fraction form
    19,824.78/27,354.06 = 13,456.30/x
  3. Step 3: Cross multiply
    19,824.78x = 27,354.06 × 13,456.30
  4. Step 4: Simplify right side
    19,824.78x = 368,084,437.58
  5. Step 5: Solve for x
    x = 368,084,437.58/19,824.78
  6. Step 6: Final answer
    x = 18,566.89

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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.