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Finding the Fourth Proportional to 14,142.84, 21,217.86 and 9,990.96

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Solution

The fourth proportional to 14,142.84, 21,217.86 and 9,990.96 is: 14,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.84 : 21,217.86 = 9,990.96 : x
  2. Step 2: Convert to fraction form
    14,142.84/21,217.86 = 9,990.96/x
  3. Step 3: Cross multiply
    14,142.84x = 21,217.86 × 9,990.96
  4. Step 4: Simplify right side
    14,142.84x = 211,986,790.55
  5. Step 5: Solve for x
    x = 211,986,790.55/14,142.84
  6. Step 6: Final answer
    x = 14,988.98

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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.