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Finding the Fourth Proportional to 13,329.86, 20,006.88 and 7,095.12

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Solution

The fourth proportional to 13,329.86, 20,006.88 and 7,095.12 is: 10,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,329.86 : 20,006.88 = 7,095.12 : x
  2. Step 2: Convert to fraction form
    13,329.86/20,006.88 = 7,095.12/x
  3. Step 3: Cross multiply
    13,329.86x = 20,006.88 × 7,095.12
  4. Step 4: Simplify right side
    13,329.86x = 141,951,214.43
  5. Step 5: Solve for x
    x = 141,951,214.43/13,329.86
  6. Step 6: Final answer
    x = 10,649.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.