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Finding the Fourth Proportional to 23,909.80, 35,916.54 and 23,035

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Solution

The fourth proportional to 23,909.80, 35,916.54 and 23,035 is: 34,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,909.80 : 35,916.54 = 23,035 : x
  2. Step 2: Convert to fraction form
    23,909.80/35,916.54 = 23,035/x
  3. Step 3: Cross multiply
    23,909.80x = 35,916.54 × 23,035
  4. Step 4: Simplify right side
    23,909.80x = 827,337,498.90
  5. Step 5: Solve for x
    x = 827,337,498.90/23,909.80
  6. Step 6: Final answer
    x = 34,602.44

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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.