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Finding the Fourth Proportional to 14,205.49, 19,604.04 and 7,832.35

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Solution

The fourth proportional to 14,205.49, 19,604.04 and 7,832.35 is: 10,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.49 : 19,604.04 = 7,832.35 : x
  2. Step 2: Convert to fraction form
    14,205.49/19,604.04 = 7,832.35/x
  3. Step 3: Cross multiply
    14,205.49x = 19,604.04 × 7,832.35
  4. Step 4: Simplify right side
    14,205.49x = 153,545,702.69
  5. Step 5: Solve for x
    x = 153,545,702.69/14,205.49
  6. Step 6: Final answer
    x = 10,808.90

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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.