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Finding the Fourth Proportional to 27,709.60, 41,518.80 and 16,002.40

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Solution

The fourth proportional to 27,709.60, 41,518.80 and 16,002.40 is: 23,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.60 : 41,518.80 = 16,002.40 : x
  2. Step 2: Convert to fraction form
    27,709.60/41,518.80 = 16,002.40/x
  3. Step 3: Cross multiply
    27,709.60x = 41,518.80 × 16,002.40
  4. Step 4: Simplify right side
    27,709.60x = 664,400,445.12
  5. Step 5: Solve for x
    x = 664,400,445.12/27,709.60
  6. Step 6: Final answer
    x = 23,977.27

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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.