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Finding the Fourth Proportional to 14,329.38, 19,775.42 and 8,041.75

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Solution

The fourth proportional to 14,329.38, 19,775.42 and 8,041.75 is: 11,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,329.38 : 19,775.42 = 8,041.75 : x
  2. Step 2: Convert to fraction form
    14,329.38/19,775.42 = 8,041.75/x
  3. Step 3: Cross multiply
    14,329.38x = 19,775.42 × 8,041.75
  4. Step 4: Simplify right side
    14,329.38x = 159,028,983.79
  5. Step 5: Solve for x
    x = 159,028,983.79/14,329.38
  6. Step 6: Final answer
    x = 11,098.11

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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.