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Finding the Fourth Proportional to 30,138.10, 41,593.05 and 16,713.57

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Solution

The fourth proportional to 30,138.10, 41,593.05 and 16,713.57 is: 23,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.10 : 41,593.05 = 16,713.57 : x
  2. Step 2: Convert to fraction form
    30,138.10/41,593.05 = 16,713.57/x
  3. Step 3: Cross multiply
    30,138.10x = 41,593.05 × 16,713.57
  4. Step 4: Simplify right side
    30,138.10x = 695,168,061.16
  5. Step 5: Solve for x
    x = 695,168,061.16/30,138.10
  6. Step 6: Final answer
    x = 23,066.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.