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Finding the Fourth Proportional to 14,522.88, 21,785.76 and 5,763.84

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Solution

The fourth proportional to 14,522.88, 21,785.76 and 5,763.84 is: 8,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,522.88 : 21,785.76 = 5,763.84 : x
  2. Step 2: Convert to fraction form
    14,522.88/21,785.76 = 5,763.84/x
  3. Step 3: Cross multiply
    14,522.88x = 21,785.76 × 5,763.84
  4. Step 4: Simplify right side
    14,522.88x = 125,569,634.92
  5. Step 5: Solve for x
    x = 125,569,634.92/14,522.88
  6. Step 6: Final answer
    x = 8,646.33

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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.