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Finding the Fourth Proportional to 19,472.24, 29,204.04 and 7,782.32

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Solution

The fourth proportional to 19,472.24, 29,204.04 and 7,782.32 is: 11,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,472.24 : 29,204.04 = 7,782.32 : x
  2. Step 2: Convert to fraction form
    19,472.24/29,204.04 = 7,782.32/x
  3. Step 3: Cross multiply
    19,472.24x = 29,204.04 × 7,782.32
  4. Step 4: Simplify right side
    19,472.24x = 227,275,184.57
  5. Step 5: Solve for x
    x = 227,275,184.57/19,472.24
  6. Step 6: Final answer
    x = 11,671.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.