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Finding the Fourth Proportional to 12,577.82, 17,359.53 and 7,275.86

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Solution

The fourth proportional to 12,577.82, 17,359.53 and 7,275.86 is: 10,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.82 : 17,359.53 = 7,275.86 : x
  2. Step 2: Convert to fraction form
    12,577.82/17,359.53 = 7,275.86/x
  3. Step 3: Cross multiply
    12,577.82x = 17,359.53 × 7,275.86
  4. Step 4: Simplify right side
    12,577.82x = 126,305,509.95
  5. Step 5: Solve for x
    x = 126,305,509.95/12,577.82
  6. Step 6: Final answer
    x = 10,041.92

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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.