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Finding the Fourth Proportional to 21,225.13, 31,815.78 and 7,180.54

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Solution

The fourth proportional to 21,225.13, 31,815.78 and 7,180.54 is: 10,763.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,225.13 : 31,815.78 = 7,180.54 : x
  2. Step 2: Convert to fraction form
    21,225.13/31,815.78 = 7,180.54/x
  3. Step 3: Cross multiply
    21,225.13x = 31,815.78 × 7,180.54
  4. Step 4: Simplify right side
    21,225.13x = 228,454,480.92
  5. Step 5: Solve for x
    x = 228,454,480.92/21,225.13
  6. Step 6: Final answer
    x = 10,763.40

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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.