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Finding the Fourth Proportional to 11,832.10, 17,748.03 and 8,123.02

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Solution

The fourth proportional to 11,832.10, 17,748.03 and 8,123.02 is: 12,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.10 : 17,748.03 = 8,123.02 : x
  2. Step 2: Convert to fraction form
    11,832.10/17,748.03 = 8,123.02/x
  3. Step 3: Cross multiply
    11,832.10x = 17,748.03 × 8,123.02
  4. Step 4: Simplify right side
    11,832.10x = 144,167,602.65
  5. Step 5: Solve for x
    x = 144,167,602.65/11,832.10
  6. Step 6: Final answer
    x = 12,184.45

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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.