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Finding the Fourth Proportional to 19,842.94, 27,384.49 and 13,116.90

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Solution

The fourth proportional to 19,842.94, 27,384.49 and 13,116.90 is: 18,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.94 : 27,384.49 = 13,116.90 : x
  2. Step 2: Convert to fraction form
    19,842.94/27,384.49 = 13,116.90/x
  3. Step 3: Cross multiply
    19,842.94x = 27,384.49 × 13,116.90
  4. Step 4: Simplify right side
    19,842.94x = 359,199,616.88
  5. Step 5: Solve for x
    x = 359,199,616.88/19,842.94
  6. Step 6: Final answer
    x = 18,102.14

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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.