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Finding the Fourth Proportional to 16,213.40, 24,320.10 and 13,297.40

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Solution

The fourth proportional to 16,213.40, 24,320.10 and 13,297.40 is: 19,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.40 : 24,320.10 = 13,297.40 : x
  2. Step 2: Convert to fraction form
    16,213.40/24,320.10 = 13,297.40/x
  3. Step 3: Cross multiply
    16,213.40x = 24,320.10 × 13,297.40
  4. Step 4: Simplify right side
    16,213.40x = 323,394,097.74
  5. Step 5: Solve for x
    x = 323,394,097.74/16,213.40
  6. Step 6: Final answer
    x = 19,946.10

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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.