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Finding the Fourth Proportional to 16,344.40, 24,516.60 and 9,783.40

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Solution

The fourth proportional to 16,344.40, 24,516.60 and 9,783.40 is: 14,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.40 : 24,516.60 = 9,783.40 : x
  2. Step 2: Convert to fraction form
    16,344.40/24,516.60 = 9,783.40/x
  3. Step 3: Cross multiply
    16,344.40x = 24,516.60 × 9,783.40
  4. Step 4: Simplify right side
    16,344.40x = 239,855,704.44
  5. Step 5: Solve for x
    x = 239,855,704.44/16,344.40
  6. Step 6: Final answer
    x = 14,675.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.