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Finding the Fourth Proportional to 11,849.32, 16,342.98 and 10,574.32

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Solution

The fourth proportional to 11,849.32, 16,342.98 and 10,574.32 is: 14,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.32 : 16,342.98 = 10,574.32 : x
  2. Step 2: Convert to fraction form
    11,849.32/16,342.98 = 10,574.32/x
  3. Step 3: Cross multiply
    11,849.32x = 16,342.98 × 10,574.32
  4. Step 4: Simplify right side
    11,849.32x = 172,815,900.27
  5. Step 5: Solve for x
    x = 172,815,900.27/11,849.32
  6. Step 6: Final answer
    x = 14,584.46

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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.