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Finding the Fourth Proportional to 14,669.72, 21,970.69 and 8,813.42

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Solution

The fourth proportional to 14,669.72, 21,970.69 and 8,813.42 is: 13,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,669.72 : 21,970.69 = 8,813.42 : x
  2. Step 2: Convert to fraction form
    14,669.72/21,970.69 = 8,813.42/x
  3. Step 3: Cross multiply
    14,669.72x = 21,970.69 × 8,813.42
  4. Step 4: Simplify right side
    14,669.72x = 193,636,764.74
  5. Step 5: Solve for x
    x = 193,636,764.74/14,669.72
  6. Step 6: Final answer
    x = 13,199.76

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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.