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Finding the Fourth Proportional to 12,867.21, 17,752.70 and 7,201.05

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Solution

The fourth proportional to 12,867.21, 17,752.70 and 7,201.05 is: 9,935.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.21 : 17,752.70 = 7,201.05 : x
  2. Step 2: Convert to fraction form
    12,867.21/17,752.70 = 7,201.05/x
  3. Step 3: Cross multiply
    12,867.21x = 17,752.70 × 7,201.05
  4. Step 4: Simplify right side
    12,867.21x = 127,838,137.91
  5. Step 5: Solve for x
    x = 127,838,137.91/12,867.21
  6. Step 6: Final answer
    x = 9,935.19

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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.