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Finding the Fourth Proportional to 12,707.60, 17,538.30 and 7,405.28

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Solution

The fourth proportional to 12,707.60, 17,538.30 and 7,405.28 is: 10,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.60 : 17,538.30 = 7,405.28 : x
  2. Step 2: Convert to fraction form
    12,707.60/17,538.30 = 7,405.28/x
  3. Step 3: Cross multiply
    12,707.60x = 17,538.30 × 7,405.28
  4. Step 4: Simplify right side
    12,707.60x = 129,876,022.22
  5. Step 5: Solve for x
    x = 129,876,022.22/12,707.60
  6. Step 6: Final answer
    x = 10,220.34

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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.