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Finding the Fourth Proportional to 12,319.96, 18,493.10 and 5,303.45

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Solution

The fourth proportional to 12,319.96, 18,493.10 and 5,303.45 is: 7,960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.96 : 18,493.10 = 5,303.45 : x
  2. Step 2: Convert to fraction form
    12,319.96/18,493.10 = 5,303.45/x
  3. Step 3: Cross multiply
    12,319.96x = 18,493.10 × 5,303.45
  4. Step 4: Simplify right side
    12,319.96x = 98,077,231.20
  5. Step 5: Solve for x
    x = 98,077,231.20/12,319.96
  6. Step 6: Final answer
    x = 7,960.84

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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.