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Finding the Fourth Proportional to 13,428.30, 18,532.75 and 8,123.10

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Solution

The fourth proportional to 13,428.30, 18,532.75 and 8,123.10 is: 11,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.30 : 18,532.75 = 8,123.10 : x
  2. Step 2: Convert to fraction form
    13,428.30/18,532.75 = 8,123.10/x
  3. Step 3: Cross multiply
    13,428.30x = 18,532.75 × 8,123.10
  4. Step 4: Simplify right side
    13,428.30x = 150,543,381.53
  5. Step 5: Solve for x
    x = 150,543,381.53/13,428.30
  6. Step 6: Final answer
    x = 11,210.90

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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.