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Finding the Fourth Proportional to 13,805.66, 19,049.28 and 8,142.18

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Solution

The fourth proportional to 13,805.66, 19,049.28 and 8,142.18 is: 11,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.66 : 19,049.28 = 8,142.18 : x
  2. Step 2: Convert to fraction form
    13,805.66/19,049.28 = 8,142.18/x
  3. Step 3: Cross multiply
    13,805.66x = 19,049.28 × 8,142.18
  4. Step 4: Simplify right side
    13,805.66x = 155,102,666.63
  5. Step 5: Solve for x
    x = 155,102,666.63/13,805.66
  6. Step 6: Final answer
    x = 11,234.72

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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.