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Finding the Fourth Proportional to 12,465.45, 17,201.84 and 6,800.13

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Solution

The fourth proportional to 12,465.45, 17,201.84 and 6,800.13 is: 9,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.45 : 17,201.84 = 6,800.13 : x
  2. Step 2: Convert to fraction form
    12,465.45/17,201.84 = 6,800.13/x
  3. Step 3: Cross multiply
    12,465.45x = 17,201.84 × 6,800.13
  4. Step 4: Simplify right side
    12,465.45x = 116,974,714.24
  5. Step 5: Solve for x
    x = 116,974,714.24/12,465.45
  6. Step 6: Final answer
    x = 9,383.91

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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.