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Finding the Fourth Proportional to 16,000.53, 24,005.67 and 9,412.80

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Solution

The fourth proportional to 16,000.53, 24,005.67 and 9,412.80 is: 14,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.53 : 24,005.67 = 9,412.80 : x
  2. Step 2: Convert to fraction form
    16,000.53/24,005.67 = 9,412.80/x
  3. Step 3: Cross multiply
    16,000.53x = 24,005.67 × 9,412.80
  4. Step 4: Simplify right side
    16,000.53x = 225,960,570.58
  5. Step 5: Solve for x
    x = 225,960,570.58/16,000.53
  6. Step 6: Final answer
    x = 14,122.07

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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.