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Finding the Fourth Proportional to 14,370.34, 19,828.09 and 8,400.85

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Solution

The fourth proportional to 14,370.34, 19,828.09 and 8,400.85 is: 11,591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,370.34 : 19,828.09 = 8,400.85 : x
  2. Step 2: Convert to fraction form
    14,370.34/19,828.09 = 8,400.85/x
  3. Step 3: Cross multiply
    14,370.34x = 19,828.09 × 8,400.85
  4. Step 4: Simplify right side
    14,370.34x = 166,572,809.88
  5. Step 5: Solve for x
    x = 166,572,809.88/14,370.34
  6. Step 6: Final answer
    x = 11,591.43

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