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Finding the Fourth Proportional to 14,536.56, 21,808 and 5,771.28

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Solution

The fourth proportional to 14,536.56, 21,808 and 5,771.28 is: 8,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.56 : 21,808 = 5,771.28 : x
  2. Step 2: Convert to fraction form
    14,536.56/21,808 = 5,771.28/x
  3. Step 3: Cross multiply
    14,536.56x = 21,808 × 5,771.28
  4. Step 4: Simplify right side
    14,536.56x = 125,860,074.24
  5. Step 5: Solve for x
    x = 125,860,074.24/14,536.56
  6. Step 6: Final answer
    x = 8,658.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.