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Finding the Fourth Proportional to 14,158.02, 19,537.88 and 8,189.56

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Solution

The fourth proportional to 14,158.02, 19,537.88 and 8,189.56 is: 11,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158.02 : 19,537.88 = 8,189.56 : x
  2. Step 2: Convert to fraction form
    14,158.02/19,537.88 = 8,189.56/x
  3. Step 3: Cross multiply
    14,158.02x = 19,537.88 × 8,189.56
  4. Step 4: Simplify right side
    14,158.02x = 160,006,583.21
  5. Step 5: Solve for x
    x = 160,006,583.21/14,158.02
  6. Step 6: Final answer
    x = 11,301.48

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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.