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Finding the Fourth Proportional to 12,465.71, 17,202.89 and 6,800.46

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Solution

The fourth proportional to 12,465.71, 17,202.89 and 6,800.46 is: 9,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.71 : 17,202.89 = 6,800.46 : x
  2. Step 2: Convert to fraction form
    12,465.71/17,202.89 = 6,800.46/x
  3. Step 3: Cross multiply
    12,465.71x = 17,202.89 × 6,800.46
  4. Step 4: Simplify right side
    12,465.71x = 116,987,565.33
  5. Step 5: Solve for x
    x = 116,987,565.33/12,465.71
  6. Step 6: Final answer
    x = 9,384.75

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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.