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Finding the Fourth Proportional to 14,543.92, 21,816.68 and 4,682.48

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Solution

The fourth proportional to 14,543.92, 21,816.68 and 4,682.48 is: 7,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.92 : 21,816.68 = 4,682.48 : x
  2. Step 2: Convert to fraction form
    14,543.92/21,816.68 = 4,682.48/x
  3. Step 3: Cross multiply
    14,543.92x = 21,816.68 × 4,682.48
  4. Step 4: Simplify right side
    14,543.92x = 102,156,167.77
  5. Step 5: Solve for x
    x = 102,156,167.77/14,543.92
  6. Step 6: Final answer
    x = 7,023.98

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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.