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Finding the Fourth Proportional to 12,577.66, 17,359.30 and 7,275.70

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Solution

The fourth proportional to 12,577.66, 17,359.30 and 7,275.70 is: 10,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.66 : 17,359.30 = 7,275.70 : x
  2. Step 2: Convert to fraction form
    12,577.66/17,359.30 = 7,275.70/x
  3. Step 3: Cross multiply
    12,577.66x = 17,359.30 × 7,275.70
  4. Step 4: Simplify right side
    12,577.66x = 126,301,059.01
  5. Step 5: Solve for x
    x = 126,301,059.01/12,577.66
  6. Step 6: Final answer
    x = 10,041.70

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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.