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Finding the Fourth Proportional to 30,999.64, 42,779.94 and 16,852.80

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Solution

The fourth proportional to 30,999.64, 42,779.94 and 16,852.80 is: 23,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999.64 : 42,779.94 = 16,852.80 : x
  2. Step 2: Convert to fraction form
    30,999.64/42,779.94 = 16,852.80/x
  3. Step 3: Cross multiply
    30,999.64x = 42,779.94 × 16,852.80
  4. Step 4: Simplify right side
    30,999.64x = 720,961,772.83
  5. Step 5: Solve for x
    x = 720,961,772.83/30,999.64
  6. Step 6: Final answer
    x = 23,257.10

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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.