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Finding the Fourth Proportional to 19,774.30, 27,287.86 and 10,821.20

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Solution

The fourth proportional to 19,774.30, 27,287.86 and 10,821.20 is: 14,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.30 : 27,287.86 = 10,821.20 : x
  2. Step 2: Convert to fraction form
    19,774.30/27,287.86 = 10,821.20/x
  3. Step 3: Cross multiply
    19,774.30x = 27,287.86 × 10,821.20
  4. Step 4: Simplify right side
    19,774.30x = 295,287,390.63
  5. Step 5: Solve for x
    x = 295,287,390.63/19,774.30
  6. Step 6: Final answer
    x = 14,932.89

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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.