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Finding the Fourth Proportional to 30,840.64, 42,560.37 and 16,693.78

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Solution

The fourth proportional to 30,840.64, 42,560.37 and 16,693.78 is: 23,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840.64 : 42,560.37 = 16,693.78 : x
  2. Step 2: Convert to fraction form
    30,840.64/42,560.37 = 16,693.78/x
  3. Step 3: Cross multiply
    30,840.64x = 42,560.37 × 16,693.78
  4. Step 4: Simplify right side
    30,840.64x = 710,493,453.50
  5. Step 5: Solve for x
    x = 710,493,453.50/30,840.64
  6. Step 6: Final answer
    x = 23,037.57

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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.