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Finding the Fourth Proportional to 16,477.20, 24,715.80 and 9,478.80

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Solution

The fourth proportional to 16,477.20, 24,715.80 and 9,478.80 is: 14,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.20 : 24,715.80 = 9,478.80 : x
  2. Step 2: Convert to fraction form
    16,477.20/24,715.80 = 9,478.80/x
  3. Step 3: Cross multiply
    16,477.20x = 24,715.80 × 9,478.80
  4. Step 4: Simplify right side
    16,477.20x = 234,276,125.04
  5. Step 5: Solve for x
    x = 234,276,125.04/16,477.20
  6. Step 6: Final answer
    x = 14,218.20

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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.