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Finding the Fourth Proportional to 15,662.42, 23,462.32 and 9,419.01

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Solution

The fourth proportional to 15,662.42, 23,462.32 and 9,419.01 is: 14,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,662.42 : 23,462.32 = 9,419.01 : x
  2. Step 2: Convert to fraction form
    15,662.42/23,462.32 = 9,419.01/x
  3. Step 3: Cross multiply
    15,662.42x = 23,462.32 × 9,419.01
  4. Step 4: Simplify right side
    15,662.42x = 220,991,826.70
  5. Step 5: Solve for x
    x = 220,991,826.70/15,662.42
  6. Step 6: Final answer
    x = 14,109.69

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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.