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Finding the Fourth Proportional to 14,598.41, 20,122.14 and 11,406.13

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Solution

The fourth proportional to 14,598.41, 20,122.14 and 11,406.13 is: 15,721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,598.41 : 20,122.14 = 11,406.13 : x
  2. Step 2: Convert to fraction form
    14,598.41/20,122.14 = 11,406.13/x
  3. Step 3: Cross multiply
    14,598.41x = 20,122.14 × 11,406.13
  4. Step 4: Simplify right side
    14,598.41x = 229,515,687.69
  5. Step 5: Solve for x
    x = 229,515,687.69/14,598.41
  6. Step 6: Final answer
    x = 15,721.97

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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.