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Finding the Fourth Proportional to 12,577.68, 17,356.01 and 7,540.97

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Solution

The fourth proportional to 12,577.68, 17,356.01 and 7,540.97 is: 10,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.68 : 17,356.01 = 7,540.97 : x
  2. Step 2: Convert to fraction form
    12,577.68/17,356.01 = 7,540.97/x
  3. Step 3: Cross multiply
    12,577.68x = 17,356.01 × 7,540.97
  4. Step 4: Simplify right side
    12,577.68x = 130,881,026.24
  5. Step 5: Solve for x
    x = 130,881,026.24/12,577.68
  6. Step 6: Final answer
    x = 10,405.82

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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.