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Finding the Fourth Proportional to 20,209.36, 30,318.72 and 6,358

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Solution

The fourth proportional to 20,209.36, 30,318.72 and 6,358 is: 9,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.36 : 30,318.72 = 6,358 : x
  2. Step 2: Convert to fraction form
    20,209.36/30,318.72 = 6,358/x
  3. Step 3: Cross multiply
    20,209.36x = 30,318.72 × 6,358
  4. Step 4: Simplify right side
    20,209.36x = 192,766,421.76
  5. Step 5: Solve for x
    x = 192,766,421.76/20,209.36
  6. Step 6: Final answer
    x = 9,538.47

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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.