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Finding the Fourth Proportional to 30,984.96, 42,760.32 and 16,838.88

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Solution

The fourth proportional to 30,984.96, 42,760.32 and 16,838.88 is: 23,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984.96 : 42,760.32 = 16,838.88 : x
  2. Step 2: Convert to fraction form
    30,984.96/42,760.32 = 16,838.88/x
  3. Step 3: Cross multiply
    30,984.96x = 42,760.32 × 16,838.88
  4. Step 4: Simplify right side
    30,984.96x = 720,035,897.24
  5. Step 5: Solve for x
    x = 720,035,897.24/30,984.96
  6. Step 6: Final answer
    x = 23,238.24

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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.