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Finding the Fourth Proportional to 23,438.34, 35,157.42 and 9,404.64

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Solution

The fourth proportional to 23,438.34, 35,157.42 and 9,404.64 is: 14,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,438.34 : 35,157.42 = 9,404.64 : x
  2. Step 2: Convert to fraction form
    23,438.34/35,157.42 = 9,404.64/x
  3. Step 3: Cross multiply
    23,438.34x = 35,157.42 × 9,404.64
  4. Step 4: Simplify right side
    23,438.34x = 330,642,878.43
  5. Step 5: Solve for x
    x = 330,642,878.43/23,438.34
  6. Step 6: Final answer
    x = 14,106.92

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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.