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Finding the Fourth Proportional to 14,496.44, 20,004.42 and 8,123.69

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Solution

The fourth proportional to 14,496.44, 20,004.42 and 8,123.69 is: 11,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.44 : 20,004.42 = 8,123.69 : x
  2. Step 2: Convert to fraction form
    14,496.44/20,004.42 = 8,123.69/x
  3. Step 3: Cross multiply
    14,496.44x = 20,004.42 × 8,123.69
  4. Step 4: Simplify right side
    14,496.44x = 162,509,741.49
  5. Step 5: Solve for x
    x = 162,509,741.49/14,496.44
  6. Step 6: Final answer
    x = 11,210.32

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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.