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Finding the Fourth Proportional to 20,430.41, 30,629.95 and 7,948.85

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Solution

The fourth proportional to 20,430.41, 30,629.95 and 7,948.85 is: 11,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,430.41 : 30,629.95 = 7,948.85 : x
  2. Step 2: Convert to fraction form
    20,430.41/30,629.95 = 7,948.85/x
  3. Step 3: Cross multiply
    20,430.41x = 30,629.95 × 7,948.85
  4. Step 4: Simplify right side
    20,430.41x = 243,472,705.04
  5. Step 5: Solve for x
    x = 243,472,705.04/20,430.41
  6. Step 6: Final answer
    x = 11,917.17

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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.