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Finding the Fourth Proportional to 14,134.94, 19,509.12 and 8,165.78

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Solution

The fourth proportional to 14,134.94, 19,509.12 and 8,165.78 is: 11,270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.94 : 19,509.12 = 8,165.78 : x
  2. Step 2: Convert to fraction form
    14,134.94/19,509.12 = 8,165.78/x
  3. Step 3: Cross multiply
    14,134.94x = 19,509.12 × 8,165.78
  4. Step 4: Simplify right side
    14,134.94x = 159,307,181.91
  5. Step 5: Solve for x
    x = 159,307,181.91/14,134.94
  6. Step 6: Final answer
    x = 11,270.45

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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.