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Finding the Fourth Proportional to 14,437.38, 19,939.99 and 9,713.46

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Solution

The fourth proportional to 14,437.38, 19,939.99 and 9,713.46 is: 13,415.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.38 : 19,939.99 = 9,713.46 : x
  2. Step 2: Convert to fraction form
    14,437.38/19,939.99 = 9,713.46/x
  3. Step 3: Cross multiply
    14,437.38x = 19,939.99 × 9,713.46
  4. Step 4: Simplify right side
    14,437.38x = 193,686,295.27
  5. Step 5: Solve for x
    x = 193,686,295.27/14,437.38
  6. Step 6: Final answer
    x = 13,415.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.