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Finding the Fourth Proportional to 19,509.32, 29,263.94 and 6,361.68

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Solution

The fourth proportional to 19,509.32, 29,263.94 and 6,361.68 is: 9,542.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.32 : 29,263.94 = 6,361.68 : x
  2. Step 2: Convert to fraction form
    19,509.32/29,263.94 = 6,361.68/x
  3. Step 3: Cross multiply
    19,509.32x = 29,263.94 × 6,361.68
  4. Step 4: Simplify right side
    19,509.32x = 186,167,821.82
  5. Step 5: Solve for x
    x = 186,167,821.82/19,509.32
  6. Step 6: Final answer
    x = 9,542.51

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Why These Related Problems?

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