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Finding the Fourth Proportional to 12,577.55, 17,356.32 and 7,539.25

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Solution

The fourth proportional to 12,577.55, 17,356.32 and 7,539.25 is: 10,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.55 : 17,356.32 = 7,539.25 : x
  2. Step 2: Convert to fraction form
    12,577.55/17,356.32 = 7,539.25/x
  3. Step 3: Cross multiply
    12,577.55x = 17,356.32 × 7,539.25
  4. Step 4: Simplify right side
    12,577.55x = 130,853,628.98
  5. Step 5: Solve for x
    x = 130,853,628.98/12,577.55
  6. Step 6: Final answer
    x = 10,403.74

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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.