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Finding the Fourth Proportional to 24,438.60, 36,632.94 and 9,627.14

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Solution

The fourth proportional to 24,438.60, 36,632.94 and 9,627.14 is: 14,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,438.60 : 36,632.94 = 9,627.14 : x
  2. Step 2: Convert to fraction form
    24,438.60/36,632.94 = 9,627.14/x
  3. Step 3: Cross multiply
    24,438.60x = 36,632.94 × 9,627.14
  4. Step 4: Simplify right side
    24,438.60x = 352,670,441.99
  5. Step 5: Solve for x
    x = 352,670,441.99/24,438.60
  6. Step 6: Final answer
    x = 14,430.88

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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.