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Finding the Fourth Proportional to 13,804.70, 19,045.48 and 7,832.91

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Solution

The fourth proportional to 13,804.70, 19,045.48 and 7,832.91 is: 10,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.70 : 19,045.48 = 7,832.91 : x
  2. Step 2: Convert to fraction form
    13,804.70/19,045.48 = 7,832.91/x
  3. Step 3: Cross multiply
    13,804.70x = 19,045.48 × 7,832.91
  4. Step 4: Simplify right side
    13,804.70x = 149,181,483.13
  5. Step 5: Solve for x
    x = 149,181,483.13/13,804.70
  6. Step 6: Final answer
    x = 10,806.57

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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.