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Finding the Fourth Proportional to 30,734.76, 42,419.28 and 17,812.23

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Solution

The fourth proportional to 30,734.76, 42,419.28 and 17,812.23 is: 24,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,734.76 : 42,419.28 = 17,812.23 : x
  2. Step 2: Convert to fraction form
    30,734.76/42,419.28 = 17,812.23/x
  3. Step 3: Cross multiply
    30,734.76x = 42,419.28 × 17,812.23
  4. Step 4: Simplify right side
    30,734.76x = 755,581,971.79
  5. Step 5: Solve for x
    x = 755,581,971.79/30,734.76
  6. Step 6: Final answer
    x = 24,583.96

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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.