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Finding the Fourth Proportional to 14,507.37, 20,018.67 and 8,538.68

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Solution

The fourth proportional to 14,507.37, 20,018.67 and 8,538.68 is: 11,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.37 : 20,018.67 = 8,538.68 : x
  2. Step 2: Convert to fraction form
    14,507.37/20,018.67 = 8,538.68/x
  3. Step 3: Cross multiply
    14,507.37x = 20,018.67 × 8,538.68
  4. Step 4: Simplify right side
    14,507.37x = 170,932,974.46
  5. Step 5: Solve for x
    x = 170,932,974.46/14,507.37
  6. Step 6: Final answer
    x = 11,782.49

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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.