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Finding the Fourth Proportional to 16,007.70, 24,011.55 and 9,786.90

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Solution

The fourth proportional to 16,007.70, 24,011.55 and 9,786.90 is: 14,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.70 : 24,011.55 = 9,786.90 : x
  2. Step 2: Convert to fraction form
    16,007.70/24,011.55 = 9,786.90/x
  3. Step 3: Cross multiply
    16,007.70x = 24,011.55 × 9,786.90
  4. Step 4: Simplify right side
    16,007.70x = 234,998,638.70
  5. Step 5: Solve for x
    x = 234,998,638.70/16,007.70
  6. Step 6: Final answer
    x = 14,680.35

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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.