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Finding the Fourth Proportional to 12,577.44, 17,358.96 and 7,275.36

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Solution

The fourth proportional to 12,577.44, 17,358.96 and 7,275.36 is: 10,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.44 : 17,358.96 = 7,275.36 : x
  2. Step 2: Convert to fraction form
    12,577.44/17,358.96 = 7,275.36/x
  3. Step 3: Cross multiply
    12,577.44x = 17,358.96 × 7,275.36
  4. Step 4: Simplify right side
    12,577.44x = 126,292,683.23
  5. Step 5: Solve for x
    x = 126,292,683.23/12,577.44
  6. Step 6: Final answer
    x = 10,041.21

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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.