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Finding the Fourth Proportional to 16,026.80, 24,014.24 and 9,780.08

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Solution

The fourth proportional to 16,026.80, 24,014.24 and 9,780.08 is: 14,654.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,026.80 : 24,014.24 = 9,780.08 : x
  2. Step 2: Convert to fraction form
    16,026.80/24,014.24 = 9,780.08/x
  3. Step 3: Cross multiply
    16,026.80x = 24,014.24 × 9,780.08
  4. Step 4: Simplify right side
    16,026.80x = 234,861,188.34
  5. Step 5: Solve for x
    x = 234,861,188.34/16,026.80
  6. Step 6: Final answer
    x = 14,654.28

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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.