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Finding the Fourth Proportional to 28,077.60, 42,116.40 and 16,384.80

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Solution

The fourth proportional to 28,077.60, 42,116.40 and 16,384.80 is: 24,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,077.60 : 42,116.40 = 16,384.80 : x
  2. Step 2: Convert to fraction form
    28,077.60/42,116.40 = 16,384.80/x
  3. Step 3: Cross multiply
    28,077.60x = 42,116.40 × 16,384.80
  4. Step 4: Simplify right side
    28,077.60x = 690,068,790.72
  5. Step 5: Solve for x
    x = 690,068,790.72/28,077.60
  6. Step 6: Final answer
    x = 24,577.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.