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Finding the Fourth Proportional to 20,061.54, 30,094.74 and 9,666

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Solution

The fourth proportional to 20,061.54, 30,094.74 and 9,666 is: 14,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,061.54 : 30,094.74 = 9,666 : x
  2. Step 2: Convert to fraction form
    20,061.54/30,094.74 = 9,666/x
  3. Step 3: Cross multiply
    20,061.54x = 30,094.74 × 9,666
  4. Step 4: Simplify right side
    20,061.54x = 290,895,756.84
  5. Step 5: Solve for x
    x = 290,895,756.84/20,061.54
  6. Step 6: Final answer
    x = 14,500.17

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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.