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Finding the Fourth Proportional to 12,577.52, 17,356.25 and 7,200.23

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Solution

The fourth proportional to 12,577.52, 17,356.25 and 7,200.23 is: 9,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.52 : 17,356.25 = 7,200.23 : x
  2. Step 2: Convert to fraction form
    12,577.52/17,356.25 = 7,200.23/x
  3. Step 3: Cross multiply
    12,577.52x = 17,356.25 × 7,200.23
  4. Step 4: Simplify right side
    12,577.52x = 124,968,999.33
  5. Step 5: Solve for x
    x = 124,968,999.33/12,577.52
  6. Step 6: Final answer
    x = 9,935.90

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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.