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Finding the Fourth Proportional to 12,765.92, 17,617.43 and 7,101.32

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Solution

The fourth proportional to 12,765.92, 17,617.43 and 7,101.32 is: 9,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.92 : 17,617.43 = 7,101.32 : x
  2. Step 2: Convert to fraction form
    12,765.92/17,617.43 = 7,101.32/x
  3. Step 3: Cross multiply
    12,765.92x = 17,617.43 × 7,101.32
  4. Step 4: Simplify right side
    12,765.92x = 125,106,937.67
  5. Step 5: Solve for x
    x = 125,106,937.67/12,765.92
  6. Step 6: Final answer
    x = 9,800.08

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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.