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Finding the Fourth Proportional to 14,135.38, 19,504.29 and 9,164.50

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Solution

The fourth proportional to 14,135.38, 19,504.29 and 9,164.50 is: 12,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.38 : 19,504.29 = 9,164.50 : x
  2. Step 2: Convert to fraction form
    14,135.38/19,504.29 = 9,164.50/x
  3. Step 3: Cross multiply
    14,135.38x = 19,504.29 × 9,164.50
  4. Step 4: Simplify right side
    14,135.38x = 178,747,065.71
  5. Step 5: Solve for x
    x = 178,747,065.71/14,135.38
  6. Step 6: Final answer
    x = 12,645.37

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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.