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Finding the Fourth Proportional to 30,414.87, 45,622.31 and 9,636.75

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Solution

The fourth proportional to 30,414.87, 45,622.31 and 9,636.75 is: 14,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.87 : 45,622.31 = 9,636.75 : x
  2. Step 2: Convert to fraction form
    30,414.87/45,622.31 = 9,636.75/x
  3. Step 3: Cross multiply
    30,414.87x = 45,622.31 × 9,636.75
  4. Step 4: Simplify right side
    30,414.87x = 439,650,747.71
  5. Step 5: Solve for x
    x = 439,650,747.71/30,414.87
  6. Step 6: Final answer
    x = 14,455.13

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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.