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Finding the Fourth Proportional to 16,023.40, 24,002.70 and 9,089.80

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Solution

The fourth proportional to 16,023.40, 24,002.70 and 9,089.80 is: 13,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.40 : 24,002.70 = 9,089.80 : x
  2. Step 2: Convert to fraction form
    16,023.40/24,002.70 = 9,089.80/x
  3. Step 3: Cross multiply
    16,023.40x = 24,002.70 × 9,089.80
  4. Step 4: Simplify right side
    16,023.40x = 218,179,742.46
  5. Step 5: Solve for x
    x = 218,179,742.46/16,023.40
  6. Step 6: Final answer
    x = 13,616.32

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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.