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Finding the Fourth Proportional to 30,420.19, 45,617.76 and 9,355.09

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Solution

The fourth proportional to 30,420.19, 45,617.76 and 9,355.09 is: 14,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420.19 : 45,617.76 = 9,355.09 : x
  2. Step 2: Convert to fraction form
    30,420.19/45,617.76 = 9,355.09/x
  3. Step 3: Cross multiply
    30,420.19x = 45,617.76 × 9,355.09
  4. Step 4: Simplify right side
    30,420.19x = 426,758,250.40
  5. Step 5: Solve for x
    x = 426,758,250.40/30,420.19
  6. Step 6: Final answer
    x = 14,028.78

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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.