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Finding the Fourth Proportional to 19,606.32, 29,406.42 and 6,457.56

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Solution

The fourth proportional to 19,606.32, 29,406.42 and 6,457.56 is: 9,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,606.32 : 29,406.42 = 6,457.56 : x
  2. Step 2: Convert to fraction form
    19,606.32/29,406.42 = 6,457.56/x
  3. Step 3: Cross multiply
    19,606.32x = 29,406.42 × 6,457.56
  4. Step 4: Simplify right side
    19,606.32x = 189,893,721.54
  5. Step 5: Solve for x
    x = 189,893,721.54/19,606.32
  6. Step 6: Final answer
    x = 9,685.33

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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.