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Finding the Fourth Proportional to 30,930.64, 42,684.09 and 16,783.18

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Solution

The fourth proportional to 30,930.64, 42,684.09 and 16,783.18 is: 23,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.64 : 42,684.09 = 16,783.18 : x
  2. Step 2: Convert to fraction form
    30,930.64/42,684.09 = 16,783.18/x
  3. Step 3: Cross multiply
    30,930.64x = 42,684.09 × 16,783.18
  4. Step 4: Simplify right side
    30,930.64x = 716,374,765.61
  5. Step 5: Solve for x
    x = 716,374,765.61/30,930.64
  6. Step 6: Final answer
    x = 23,160.68

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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.