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Finding the Fourth Proportional to 21,706.63, 32,544.07 and 14,669.14

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Solution

The fourth proportional to 21,706.63, 32,544.07 and 14,669.14 is: 21,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.63 : 32,544.07 = 14,669.14 : x
  2. Step 2: Convert to fraction form
    21,706.63/32,544.07 = 14,669.14/x
  3. Step 3: Cross multiply
    21,706.63x = 32,544.07 × 14,669.14
  4. Step 4: Simplify right side
    21,706.63x = 477,393,519.00
  5. Step 5: Solve for x
    x = 477,393,519.00/21,706.63
  6. Step 6: Final answer
    x = 21,992.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.