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Finding the Fourth Proportional to 12,319.80, 18,485.70 and 5,742.60

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Solution

The fourth proportional to 12,319.80, 18,485.70 and 5,742.60 is: 8,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.80 : 18,485.70 = 5,742.60 : x
  2. Step 2: Convert to fraction form
    12,319.80/18,485.70 = 5,742.60/x
  3. Step 3: Cross multiply
    12,319.80x = 18,485.70 × 5,742.60
  4. Step 4: Simplify right side
    12,319.80x = 106,155,980.82
  5. Step 5: Solve for x
    x = 106,155,980.82/12,319.80
  6. Step 6: Final answer
    x = 8,616.70

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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.