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Finding the Fourth Proportional to 16,101.04, 24,121.50 and 9,507.64

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Solution

The fourth proportional to 16,101.04, 24,121.50 and 9,507.64 is: 14,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.04 : 24,121.50 = 9,507.64 : x
  2. Step 2: Convert to fraction form
    16,101.04/24,121.50 = 9,507.64/x
  3. Step 3: Cross multiply
    16,101.04x = 24,121.50 × 9,507.64
  4. Step 4: Simplify right side
    16,101.04x = 229,338,538.26
  5. Step 5: Solve for x
    x = 229,338,538.26/16,101.04
  6. Step 6: Final answer
    x = 14,243.71

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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.