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Finding the Fourth Proportional to 12,835.32, 17,707.50 and 7,799.64

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Solution

The fourth proportional to 12,835.32, 17,707.50 and 7,799.64 is: 10,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.32 : 17,707.50 = 7,799.64 : x
  2. Step 2: Convert to fraction form
    12,835.32/17,707.50 = 7,799.64/x
  3. Step 3: Cross multiply
    12,835.32x = 17,707.50 × 7,799.64
  4. Step 4: Simplify right side
    12,835.32x = 138,112,125.30
  5. Step 5: Solve for x
    x = 138,112,125.30/12,835.32
  6. Step 6: Final answer
    x = 10,760.32

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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.