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Finding the Fourth Proportional to 12,739.16, 17,581.14 and 7,435.68

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Solution

The fourth proportional to 12,739.16, 17,581.14 and 7,435.68 is: 10,261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,739.16 : 17,581.14 = 7,435.68 : x
  2. Step 2: Convert to fraction form
    12,739.16/17,581.14 = 7,435.68/x
  3. Step 3: Cross multiply
    12,739.16x = 17,581.14 × 7,435.68
  4. Step 4: Simplify right side
    12,739.16x = 130,727,731.08
  5. Step 5: Solve for x
    x = 130,727,731.08/12,739.16
  6. Step 6: Final answer
    x = 10,261.88

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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.