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Finding the Fourth Proportional to 20,606.13, 30,908.34 and 9,509.13

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Solution

The fourth proportional to 20,606.13, 30,908.34 and 9,509.13 is: 14,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,606.13 : 30,908.34 = 9,509.13 : x
  2. Step 2: Convert to fraction form
    20,606.13/30,908.34 = 9,509.13/x
  3. Step 3: Cross multiply
    20,606.13x = 30,908.34 × 9,509.13
  4. Step 4: Simplify right side
    20,606.13x = 293,911,423.14
  5. Step 5: Solve for x
    x = 293,911,423.14/20,606.13
  6. Step 6: Final answer
    x = 14,263.30

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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.