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Finding the Fourth Proportional to 12,577.56, 17,357.10 and 6,988.56

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Solution

The fourth proportional to 12,577.56, 17,357.10 and 6,988.56 is: 9,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.56 : 17,357.10 = 6,988.56 : x
  2. Step 2: Convert to fraction form
    12,577.56/17,357.10 = 6,988.56/x
  3. Step 3: Cross multiply
    12,577.56x = 17,357.10 × 6,988.56
  4. Step 4: Simplify right side
    12,577.56x = 121,301,134.78
  5. Step 5: Solve for x
    x = 121,301,134.78/12,577.56
  6. Step 6: Final answer
    x = 9,644.25

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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.