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Finding the Fourth Proportional to 12,867.47, 17,759.87 and 7,833.35

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Solution

The fourth proportional to 12,867.47, 17,759.87 and 7,833.35 is: 10,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.47 : 17,759.87 = 7,833.35 : x
  2. Step 2: Convert to fraction form
    12,867.47/17,759.87 = 7,833.35/x
  3. Step 3: Cross multiply
    12,867.47x = 17,759.87 × 7,833.35
  4. Step 4: Simplify right side
    12,867.47x = 139,119,252.85
  5. Step 5: Solve for x
    x = 139,119,252.85/12,867.47
  6. Step 6: Final answer
    x = 10,811.70

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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.