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Finding the Fourth Proportional to 13,429.74, 18,532.98 and 8,123.01

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Solution

The fourth proportional to 13,429.74, 18,532.98 and 8,123.01 is: 11,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.74 : 18,532.98 = 8,123.01 : x
  2. Step 2: Convert to fraction form
    13,429.74/18,532.98 = 8,123.01/x
  3. Step 3: Cross multiply
    13,429.74x = 18,532.98 × 8,123.01
  4. Step 4: Simplify right side
    13,429.74x = 150,543,581.87
  5. Step 5: Solve for x
    x = 150,543,581.87/13,429.74
  6. Step 6: Final answer
    x = 11,209.72

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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.