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Finding the Fourth Proportional to 16,005.40, 24,011.70 and 9,428.20

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Solution

The fourth proportional to 16,005.40, 24,011.70 and 9,428.20 is: 14,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.40 : 24,011.70 = 9,428.20 : x
  2. Step 2: Convert to fraction form
    16,005.40/24,011.70 = 9,428.20/x
  3. Step 3: Cross multiply
    16,005.40x = 24,011.70 × 9,428.20
  4. Step 4: Simplify right side
    16,005.40x = 226,387,109.94
  5. Step 5: Solve for x
    x = 226,387,109.94/16,005.40
  6. Step 6: Final answer
    x = 14,144.42

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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.