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Finding the Fourth Proportional to 23,977.60, 35,964.12 and 8,394.40

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Solution

The fourth proportional to 23,977.60, 35,964.12 and 8,394.40 is: 12,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,977.60 : 35,964.12 = 8,394.40 : x
  2. Step 2: Convert to fraction form
    23,977.60/35,964.12 = 8,394.40/x
  3. Step 3: Cross multiply
    23,977.60x = 35,964.12 × 8,394.40
  4. Step 4: Simplify right side
    23,977.60x = 301,897,208.93
  5. Step 5: Solve for x
    x = 301,897,208.93/23,977.60
  6. Step 6: Final answer
    x = 12,590.80

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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.