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Finding the Fourth Proportional to 23,808.62, 35,713.23 and 6,278.30

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Solution

The fourth proportional to 23,808.62, 35,713.23 and 6,278.30 is: 9,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.62 : 35,713.23 = 6,278.30 : x
  2. Step 2: Convert to fraction form
    23,808.62/35,713.23 = 6,278.30/x
  3. Step 3: Cross multiply
    23,808.62x = 35,713.23 × 6,278.30
  4. Step 4: Simplify right side
    23,808.62x = 224,218,193.34
  5. Step 5: Solve for x
    x = 224,218,193.34/23,808.62
  6. Step 6: Final answer
    x = 9,417.52

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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.