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Finding the Fourth Proportional to 20,526.76, 30,786.78 and 9,433

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Solution

The fourth proportional to 20,526.76, 30,786.78 and 9,433 is: 14,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,526.76 : 30,786.78 = 9,433 : x
  2. Step 2: Convert to fraction form
    20,526.76/30,786.78 = 9,433/x
  3. Step 3: Cross multiply
    20,526.76x = 30,786.78 × 9,433
  4. Step 4: Simplify right side
    20,526.76x = 290,411,695.74
  5. Step 5: Solve for x
    x = 290,411,695.74/20,526.76
  6. Step 6: Final answer
    x = 14,147.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.