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Finding the Fourth Proportional to 30,286.41, 45,436.82 and 9,509.91

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Solution

The fourth proportional to 30,286.41, 45,436.82 and 9,509.91 is: 14,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.41 : 45,436.82 = 9,509.91 : x
  2. Step 2: Convert to fraction form
    30,286.41/45,436.82 = 9,509.91/x
  3. Step 3: Cross multiply
    30,286.41x = 45,436.82 × 9,509.91
  4. Step 4: Simplify right side
    30,286.41x = 432,100,021.34
  5. Step 5: Solve for x
    x = 432,100,021.34/30,286.41
  6. Step 6: Final answer
    x = 14,267.13

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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.