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Finding the Fourth Proportional to 19,646.10, 29,457.81 and 6,494.94

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Solution

The fourth proportional to 19,646.10, 29,457.81 and 6,494.94 is: 9,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646.10 : 29,457.81 = 6,494.94 : x
  2. Step 2: Convert to fraction form
    19,646.10/29,457.81 = 6,494.94/x
  3. Step 3: Cross multiply
    19,646.10x = 29,457.81 × 6,494.94
  4. Step 4: Simplify right side
    19,646.10x = 191,326,708.48
  5. Step 5: Solve for x
    x = 191,326,708.48/19,646.10
  6. Step 6: Final answer
    x = 9,738.66

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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.