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Finding the Fourth Proportional to 30,420.63, 45,596.93 and 13,755.69

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Solution

The fourth proportional to 30,420.63, 45,596.93 and 13,755.69 is: 20,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420.63 : 45,596.93 = 13,755.69 : x
  2. Step 2: Convert to fraction form
    30,420.63/45,596.93 = 13,755.69/x
  3. Step 3: Cross multiply
    30,420.63x = 45,596.93 × 13,755.69
  4. Step 4: Simplify right side
    30,420.63x = 627,217,165.25
  5. Step 5: Solve for x
    x = 627,217,165.25/30,420.63
  6. Step 6: Final answer
    x = 20,618.15

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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.