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Finding the Fourth Proportional to 16,507.41, 22,782.51 and 11,468.85

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Solution

The fourth proportional to 16,507.41, 22,782.51 and 11,468.85 is: 15,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.41 : 22,782.51 = 11,468.85 : x
  2. Step 2: Convert to fraction form
    16,507.41/22,782.51 = 11,468.85/x
  3. Step 3: Cross multiply
    16,507.41x = 22,782.51 × 11,468.85
  4. Step 4: Simplify right side
    16,507.41x = 261,289,189.81
  5. Step 5: Solve for x
    x = 261,289,189.81/16,507.41
  6. Step 6: Final answer
    x = 15,828.60

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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.