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Finding the Fourth Proportional to 30,683.64, 45,987.77 and 15,884.12

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Solution

The fourth proportional to 30,683.64, 45,987.77 and 15,884.12 is: 23,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.64 : 45,987.77 = 15,884.12 : x
  2. Step 2: Convert to fraction form
    30,683.64/45,987.77 = 15,884.12/x
  3. Step 3: Cross multiply
    30,683.64x = 45,987.77 × 15,884.12
  4. Step 4: Simplify right side
    30,683.64x = 730,475,257.21
  5. Step 5: Solve for x
    x = 730,475,257.21/30,683.64
  6. Step 6: Final answer
    x = 23,806.67

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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.