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Finding the Fourth Proportional to 16,400.80, 24,586.80 and 9,829.60

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Solution

The fourth proportional to 16,400.80, 24,586.80 and 9,829.60 is: 14,735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.80 : 24,586.80 = 9,829.60 : x
  2. Step 2: Convert to fraction form
    16,400.80/24,586.80 = 9,829.60/x
  3. Step 3: Cross multiply
    16,400.80x = 24,586.80 × 9,829.60
  4. Step 4: Simplify right side
    16,400.80x = 241,678,409.28
  5. Step 5: Solve for x
    x = 241,678,409.28/16,400.80
  6. Step 6: Final answer
    x = 14,735.77

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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.