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Finding the Fourth Proportional to 12,570.30, 17,345.78 and 7,534.44

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Solution

The fourth proportional to 12,570.30, 17,345.78 and 7,534.44 is: 10,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.30 : 17,345.78 = 7,534.44 : x
  2. Step 2: Convert to fraction form
    12,570.30/17,345.78 = 7,534.44/x
  3. Step 3: Cross multiply
    12,570.30x = 17,345.78 × 7,534.44
  4. Step 4: Simplify right side
    12,570.30x = 130,690,738.66
  5. Step 5: Solve for x
    x = 130,690,738.66/12,570.30
  6. Step 6: Final answer
    x = 10,396.79

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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.