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Finding the Fourth Proportional to 18,405, 25,399.02 and 10,021.56

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Solution

The fourth proportional to 18,405, 25,399.02 and 10,021.56 is: 13,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,405 : 25,399.02 = 10,021.56 : x
  2. Step 2: Convert to fraction form
    18,405/25,399.02 = 10,021.56/x
  3. Step 3: Cross multiply
    18,405x = 25,399.02 × 10,021.56
  4. Step 4: Simplify right side
    18,405x = 254,537,802.87
  5. Step 5: Solve for x
    x = 254,537,802.87/18,405
  6. Step 6: Final answer
    x = 13,829.82

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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.