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Finding the Fourth Proportional to 23,434.34, 35,151.42 and 9,400.64

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Solution

The fourth proportional to 23,434.34, 35,151.42 and 9,400.64 is: 14,100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,434.34 : 35,151.42 = 9,400.64 : x
  2. Step 2: Convert to fraction form
    23,434.34/35,151.42 = 9,400.64/x
  3. Step 3: Cross multiply
    23,434.34x = 35,151.42 × 9,400.64
  4. Step 4: Simplify right side
    23,434.34x = 330,445,844.91
  5. Step 5: Solve for x
    x = 330,445,844.91/23,434.34
  6. Step 6: Final answer
    x = 14,100.92

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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.