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Finding the Fourth Proportional to 16,133.20, 24,199.80 and 9,134.80

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Solution

The fourth proportional to 16,133.20, 24,199.80 and 9,134.80 is: 13,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.20 : 24,199.80 = 9,134.80 : x
  2. Step 2: Convert to fraction form
    16,133.20/24,199.80 = 9,134.80/x
  3. Step 3: Cross multiply
    16,133.20x = 24,199.80 × 9,134.80
  4. Step 4: Simplify right side
    16,133.20x = 221,060,333.04
  5. Step 5: Solve for x
    x = 221,060,333.04/16,133.20
  6. Step 6: Final answer
    x = 13,702.20

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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.