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Finding the Fourth Proportional to 12,659.24, 17,471.76 and 7,070.24

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Solution

The fourth proportional to 12,659.24, 17,471.76 and 7,070.24 is: 9,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.24 : 17,471.76 = 7,070.24 : x
  2. Step 2: Convert to fraction form
    12,659.24/17,471.76 = 7,070.24/x
  3. Step 3: Cross multiply
    12,659.24x = 17,471.76 × 7,070.24
  4. Step 4: Simplify right side
    12,659.24x = 123,529,536.42
  5. Step 5: Solve for x
    x = 123,529,536.42/12,659.24
  6. Step 6: Final answer
    x = 9,758.05

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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.