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Finding the Fourth Proportional to 14,003.46, 19,323.90 and 7,715.85

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Solution

The fourth proportional to 14,003.46, 19,323.90 and 7,715.85 is: 10,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.46 : 19,323.90 = 7,715.85 : x
  2. Step 2: Convert to fraction form
    14,003.46/19,323.90 = 7,715.85/x
  3. Step 3: Cross multiply
    14,003.46x = 19,323.90 × 7,715.85
  4. Step 4: Simplify right side
    14,003.46x = 149,100,313.82
  5. Step 5: Solve for x
    x = 149,100,313.82/14,003.46
  6. Step 6: Final answer
    x = 10,647.39

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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.