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Finding the Fourth Proportional to 20,666.58, 30,990.14 and 14,433.63

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Solution

The fourth proportional to 20,666.58, 30,990.14 and 14,433.63 is: 21,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,666.58 : 30,990.14 = 14,433.63 : x
  2. Step 2: Convert to fraction form
    20,666.58/30,990.14 = 14,433.63/x
  3. Step 3: Cross multiply
    20,666.58x = 30,990.14 × 14,433.63
  4. Step 4: Simplify right side
    20,666.58x = 447,300,161.34
  5. Step 5: Solve for x
    x = 447,300,161.34/20,666.58
  6. Step 6: Final answer
    x = 21,643.65

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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.