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Finding the Fourth Proportional to 23,782.01, 32,819.09 and 13,710.40

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Solution

The fourth proportional to 23,782.01, 32,819.09 and 13,710.40 is: 18,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.01 : 32,819.09 = 13,710.40 : x
  2. Step 2: Convert to fraction form
    23,782.01/32,819.09 = 13,710.40/x
  3. Step 3: Cross multiply
    23,782.01x = 32,819.09 × 13,710.40
  4. Step 4: Simplify right side
    23,782.01x = 449,962,700.94
  5. Step 5: Solve for x
    x = 449,962,700.94/23,782.01
  6. Step 6: Final answer
    x = 18,920.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.