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Finding the Fourth Proportional to 15,783.36, 23,673.42 and 9,922.20

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Solution

The fourth proportional to 15,783.36, 23,673.42 and 9,922.20 is: 14,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.36 : 23,673.42 = 9,922.20 : x
  2. Step 2: Convert to fraction form
    15,783.36/23,673.42 = 9,922.20/x
  3. Step 3: Cross multiply
    15,783.36x = 23,673.42 × 9,922.20
  4. Step 4: Simplify right side
    15,783.36x = 234,892,407.92
  5. Step 5: Solve for x
    x = 234,892,407.92/15,783.36
  6. Step 6: Final answer
    x = 14,882.28

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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.