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Finding the Fourth Proportional to 14,495.57, 21,749.54 and 6,179.50

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Solution

The fourth proportional to 14,495.57, 21,749.54 and 6,179.50 is: 9,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,495.57 : 21,749.54 = 6,179.50 : x
  2. Step 2: Convert to fraction form
    14,495.57/21,749.54 = 6,179.50/x
  3. Step 3: Cross multiply
    14,495.57x = 21,749.54 × 6,179.50
  4. Step 4: Simplify right side
    14,495.57x = 134,401,282.43
  5. Step 5: Solve for x
    x = 134,401,282.43/14,495.57
  6. Step 6: Final answer
    x = 9,271.89

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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.