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Finding the Fourth Proportional to 15,813.20, 23,719.80 and 8,814.80

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Solution

The fourth proportional to 15,813.20, 23,719.80 and 8,814.80 is: 13,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.20 : 23,719.80 = 8,814.80 : x
  2. Step 2: Convert to fraction form
    15,813.20/23,719.80 = 8,814.80/x
  3. Step 3: Cross multiply
    15,813.20x = 23,719.80 × 8,814.80
  4. Step 4: Simplify right side
    15,813.20x = 209,085,293.04
  5. Step 5: Solve for x
    x = 209,085,293.04/15,813.20
  6. Step 6: Final answer
    x = 13,222.20

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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.