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Finding the Fourth Proportional to 20,346.48, 30,509.96 and 8,653.36

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Solution

The fourth proportional to 20,346.48, 30,509.96 and 8,653.36 is: 12,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,346.48 : 30,509.96 = 8,653.36 : x
  2. Step 2: Convert to fraction form
    20,346.48/30,509.96 = 8,653.36/x
  3. Step 3: Cross multiply
    20,346.48x = 30,509.96 × 8,653.36
  4. Step 4: Simplify right side
    20,346.48x = 264,013,667.47
  5. Step 5: Solve for x
    x = 264,013,667.47/20,346.48
  6. Step 6: Final answer
    x = 12,975.89

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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.