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Finding the Fourth Proportional to 30,914.10, 42,662.23 and 17,484.71

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Solution

The fourth proportional to 30,914.10, 42,662.23 and 17,484.71 is: 24,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.10 : 42,662.23 = 17,484.71 : x
  2. Step 2: Convert to fraction form
    30,914.10/42,662.23 = 17,484.71/x
  3. Step 3: Cross multiply
    30,914.10x = 42,662.23 × 17,484.71
  4. Step 4: Simplify right side
    30,914.10x = 745,936,462.48
  5. Step 5: Solve for x
    x = 745,936,462.48/30,914.10
  6. Step 6: Final answer
    x = 24,129.33

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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.