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Finding the Fourth Proportional to 23,765.84, 32,788.84 and 13,694.03

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Solution

The fourth proportional to 23,765.84, 32,788.84 and 13,694.03 is: 18,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.84 : 32,788.84 = 13,694.03 : x
  2. Step 2: Convert to fraction form
    23,765.84/32,788.84 = 13,694.03/x
  3. Step 3: Cross multiply
    23,765.84x = 32,788.84 × 13,694.03
  4. Step 4: Simplify right side
    23,765.84x = 449,011,358.63
  5. Step 5: Solve for x
    x = 449,011,358.63/23,765.84
  6. Step 6: Final answer
    x = 18,893.14

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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.