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Finding the Fourth Proportional to 17,661.60, 26,485.84 and 5,178.40

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Solution

The fourth proportional to 17,661.60, 26,485.84 and 5,178.40 is: 7,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.60 : 26,485.84 = 5,178.40 : x
  2. Step 2: Convert to fraction form
    17,661.60/26,485.84 = 5,178.40/x
  3. Step 3: Cross multiply
    17,661.60x = 26,485.84 × 5,178.40
  4. Step 4: Simplify right side
    17,661.60x = 137,154,273.86
  5. Step 5: Solve for x
    x = 137,154,273.86/17,661.60
  6. Step 6: Final answer
    x = 7,765.68

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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.