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Finding the Fourth Proportional to 30,213.90, 45,315.18 and 12,683.88

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Solution

The fourth proportional to 30,213.90, 45,315.18 and 12,683.88 is: 19,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213.90 : 45,315.18 = 12,683.88 : x
  2. Step 2: Convert to fraction form
    30,213.90/45,315.18 = 12,683.88/x
  3. Step 3: Cross multiply
    30,213.90x = 45,315.18 × 12,683.88
  4. Step 4: Simplify right side
    30,213.90x = 574,772,305.30
  5. Step 5: Solve for x
    x = 574,772,305.30/30,213.90
  6. Step 6: Final answer
    x = 19,023.44

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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.