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Finding the Fourth Proportional to 30,708.96, 42,384.16 and 19,229.20

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Solution

The fourth proportional to 30,708.96, 42,384.16 and 19,229.20 is: 26,539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,708.96 : 42,384.16 = 19,229.20 : x
  2. Step 2: Convert to fraction form
    30,708.96/42,384.16 = 19,229.20/x
  3. Step 3: Cross multiply
    30,708.96x = 42,384.16 × 19,229.20
  4. Step 4: Simplify right side
    30,708.96x = 815,013,407.55
  5. Step 5: Solve for x
    x = 815,013,407.55/30,708.96
  6. Step 6: Final answer
    x = 26,539.93

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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.