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Finding the Fourth Proportional to 20,660.39, 30,973.29 and 9,575.01

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Solution

The fourth proportional to 20,660.39, 30,973.29 and 9,575.01 is: 14,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,660.39 : 30,973.29 = 9,575.01 : x
  2. Step 2: Convert to fraction form
    20,660.39/30,973.29 = 9,575.01/x
  3. Step 3: Cross multiply
    20,660.39x = 30,973.29 × 9,575.01
  4. Step 4: Simplify right side
    20,660.39x = 296,569,561.48
  5. Step 5: Solve for x
    x = 296,569,561.48/20,660.39
  6. Step 6: Final answer
    x = 14,354.50

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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.