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Finding the Fourth Proportional to 30,213.46, 45,321.08 and 14,420.15

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Solution

The fourth proportional to 30,213.46, 45,321.08 and 14,420.15 is: 21,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213.46 : 45,321.08 = 14,420.15 : x
  2. Step 2: Convert to fraction form
    30,213.46/45,321.08 = 14,420.15/x
  3. Step 3: Cross multiply
    30,213.46x = 45,321.08 × 14,420.15
  4. Step 4: Simplify right side
    30,213.46x = 653,536,885.06
  5. Step 5: Solve for x
    x = 653,536,885.06/30,213.46
  6. Step 6: Final answer
    x = 21,630.66

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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.