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Finding the Fourth Proportional to 13,800.24, 19,045.36 and 7,832.96

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Solution

The fourth proportional to 13,800.24, 19,045.36 and 7,832.96 is: 10,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.24 : 19,045.36 = 7,832.96 : x
  2. Step 2: Convert to fraction form
    13,800.24/19,045.36 = 7,832.96/x
  3. Step 3: Cross multiply
    13,800.24x = 19,045.36 × 7,832.96
  4. Step 4: Simplify right side
    13,800.24x = 149,181,543.07
  5. Step 5: Solve for x
    x = 149,181,543.07/13,800.24
  6. Step 6: Final answer
    x = 10,810.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.