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Finding the Fourth Proportional to 13,412.99, 20,123.60 and 6,401.94

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Solution

The fourth proportional to 13,412.99, 20,123.60 and 6,401.94 is: 9,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.99 : 20,123.60 = 6,401.94 : x
  2. Step 2: Convert to fraction form
    13,412.99/20,123.60 = 6,401.94/x
  3. Step 3: Cross multiply
    13,412.99x = 20,123.60 × 6,401.94
  4. Step 4: Simplify right side
    13,412.99x = 128,830,047.77
  5. Step 5: Solve for x
    x = 128,830,047.77/13,412.99
  6. Step 6: Final answer
    x = 9,604.88

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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.