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Finding the Fourth Proportional to 12,139.34, 16,751.88 and 6,833.14

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Solution

The fourth proportional to 12,139.34, 16,751.88 and 6,833.14 is: 9,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.34 : 16,751.88 = 6,833.14 : x
  2. Step 2: Convert to fraction form
    12,139.34/16,751.88 = 6,833.14/x
  3. Step 3: Cross multiply
    12,139.34x = 16,751.88 × 6,833.14
  4. Step 4: Simplify right side
    12,139.34x = 114,467,899.42
  5. Step 5: Solve for x
    x = 114,467,899.42/12,139.34
  6. Step 6: Final answer
    x = 9,429.50

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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.