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Finding the Fourth Proportional to 14,490.17, 21,722.68 and 6,478.85

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Solution

The fourth proportional to 14,490.17, 21,722.68 and 6,478.85 is: 9,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,490.17 : 21,722.68 = 6,478.85 : x
  2. Step 2: Convert to fraction form
    14,490.17/21,722.68 = 6,478.85/x
  3. Step 3: Cross multiply
    14,490.17x = 21,722.68 × 6,478.85
  4. Step 4: Simplify right side
    14,490.17x = 140,738,047.72
  5. Step 5: Solve for x
    x = 140,738,047.72/14,490.17
  6. Step 6: Final answer
    x = 9,712.66

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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.