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Finding the Fourth Proportional to 12,782.16, 17,635.32 and 7,192.08

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Solution

The fourth proportional to 12,782.16, 17,635.32 and 7,192.08 is: 9,922.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.16 : 17,635.32 = 7,192.08 : x
  2. Step 2: Convert to fraction form
    12,782.16/17,635.32 = 7,192.08/x
  3. Step 3: Cross multiply
    12,782.16x = 17,635.32 × 7,192.08
  4. Step 4: Simplify right side
    12,782.16x = 126,834,632.27
  5. Step 5: Solve for x
    x = 126,834,632.27/12,782.16
  6. Step 6: Final answer
    x = 9,922.79

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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.