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Finding the Fourth Proportional to 14,147.40, 19,525.92 and 8,178.12

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Solution

The fourth proportional to 14,147.40, 19,525.92 and 8,178.12 is: 11,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.40 : 19,525.92 = 8,178.12 : x
  2. Step 2: Convert to fraction form
    14,147.40/19,525.92 = 8,178.12/x
  3. Step 3: Cross multiply
    14,147.40x = 19,525.92 × 8,178.12
  4. Step 4: Simplify right side
    14,147.40x = 159,685,316.87
  5. Step 5: Solve for x
    x = 159,685,316.87/14,147.40
  6. Step 6: Final answer
    x = 11,287.26

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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.