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Finding the Fourth Proportional to 14,575.77, 21,868.22 and 5,215.57

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Solution

The fourth proportional to 14,575.77, 21,868.22 and 5,215.57 is: 7,824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.77 : 21,868.22 = 5,215.57 : x
  2. Step 2: Convert to fraction form
    14,575.77/21,868.22 = 5,215.57/x
  3. Step 3: Cross multiply
    14,575.77x = 21,868.22 × 5,215.57
  4. Step 4: Simplify right side
    14,575.77x = 114,055,190.55
  5. Step 5: Solve for x
    x = 114,055,190.55/14,575.77
  6. Step 6: Final answer
    x = 7,824.99

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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.