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Finding the Fourth Proportional to 23,507.58, 35,252.49 and 9,462.83

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Solution

The fourth proportional to 23,507.58, 35,252.49 and 9,462.83 is: 14,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507.58 : 35,252.49 = 9,462.83 : x
  2. Step 2: Convert to fraction form
    23,507.58/35,252.49 = 9,462.83/x
  3. Step 3: Cross multiply
    23,507.58x = 35,252.49 × 9,462.83
  4. Step 4: Simplify right side
    23,507.58x = 333,588,319.95
  5. Step 5: Solve for x
    x = 333,588,319.95/23,507.58
  6. Step 6: Final answer
    x = 14,190.67

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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.