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Finding the Fourth Proportional to 13,045.36, 19,534.65 and 7,195.48

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Solution

The fourth proportional to 13,045.36, 19,534.65 and 7,195.48 is: 10,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.36 : 19,534.65 = 7,195.48 : x
  2. Step 2: Convert to fraction form
    13,045.36/19,534.65 = 7,195.48/x
  3. Step 3: Cross multiply
    13,045.36x = 19,534.65 × 7,195.48
  4. Step 4: Simplify right side
    13,045.36x = 140,561,183.38
  5. Step 5: Solve for x
    x = 140,561,183.38/13,045.36
  6. Step 6: Final answer
    x = 10,774.80

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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.