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Finding the Fourth Proportional to 19,382.70, 29,071.32 and 6,233.40

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Solution

The fourth proportional to 19,382.70, 29,071.32 and 6,233.40 is: 9,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382.70 : 29,071.32 = 6,233.40 : x
  2. Step 2: Convert to fraction form
    19,382.70/29,071.32 = 6,233.40/x
  3. Step 3: Cross multiply
    19,382.70x = 29,071.32 × 6,233.40
  4. Step 4: Simplify right side
    19,382.70x = 181,213,166.09
  5. Step 5: Solve for x
    x = 181,213,166.09/19,382.70
  6. Step 6: Final answer
    x = 9,349.22

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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.