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Finding the Fourth Proportional to 14,461.83, 21,695.93 and 8,224.77

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Solution

The fourth proportional to 14,461.83, 21,695.93 and 8,224.77 is: 12,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.83 : 21,695.93 = 8,224.77 : x
  2. Step 2: Convert to fraction form
    14,461.83/21,695.93 = 8,224.77/x
  3. Step 3: Cross multiply
    14,461.83x = 21,695.93 × 8,224.77
  4. Step 4: Simplify right side
    14,461.83x = 178,443,993.06
  5. Step 5: Solve for x
    x = 178,443,993.06/14,461.83
  6. Step 6: Final answer
    x = 12,338.96

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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.