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Finding the Fourth Proportional to 12,193.34, 16,827.35 and 6,888.24

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Solution

The fourth proportional to 12,193.34, 16,827.35 and 6,888.24 is: 9,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.34 : 16,827.35 = 6,888.24 : x
  2. Step 2: Convert to fraction form
    12,193.34/16,827.35 = 6,888.24/x
  3. Step 3: Cross multiply
    12,193.34x = 16,827.35 × 6,888.24
  4. Step 4: Simplify right side
    12,193.34x = 115,910,790.92
  5. Step 5: Solve for x
    x = 115,910,790.92/12,193.34
  6. Step 6: Final answer
    x = 9,506.08

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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.