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Finding the Fourth Proportional to 20,405.35, 30,606.59 and 5,412.13

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Solution

The fourth proportional to 20,405.35, 30,606.59 and 5,412.13 is: 8,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,405.35 : 30,606.59 = 5,412.13 : x
  2. Step 2: Convert to fraction form
    20,405.35/30,606.59 = 5,412.13/x
  3. Step 3: Cross multiply
    20,405.35x = 30,606.59 × 5,412.13
  4. Step 4: Simplify right side
    20,405.35x = 165,646,953.11
  5. Step 5: Solve for x
    x = 165,646,953.11/20,405.35
  6. Step 6: Final answer
    x = 8,117.82

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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.