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Finding the Fourth Proportional to 19,842.90, 27,381.12 and 11,347.23

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Solution

The fourth proportional to 19,842.90, 27,381.12 and 11,347.23 is: 15,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.90 : 27,381.12 = 11,347.23 : x
  2. Step 2: Convert to fraction form
    19,842.90/27,381.12 = 11,347.23/x
  3. Step 3: Cross multiply
    19,842.90x = 27,381.12 × 11,347.23
  4. Step 4: Simplify right side
    19,842.90x = 310,699,866.30
  5. Step 5: Solve for x
    x = 310,699,866.30/19,842.90
  6. Step 6: Final answer
    x = 15,657.99

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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.