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Finding the Fourth Proportional to 12,139.16, 16,750.85 and 6,833.57

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Solution

The fourth proportional to 12,139.16, 16,750.85 and 6,833.57 is: 9,429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.16 : 16,750.85 = 6,833.57 : x
  2. Step 2: Convert to fraction form
    12,139.16/16,750.85 = 6,833.57/x
  3. Step 3: Cross multiply
    12,139.16x = 16,750.85 × 6,833.57
  4. Step 4: Simplify right side
    12,139.16x = 114,467,988.11
  5. Step 5: Solve for x
    x = 114,467,988.11/12,139.16
  6. Step 6: Final answer
    x = 9,429.65

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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.