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Finding the Fourth Proportional to 14,462.84, 21,686.58 and 6,665

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Solution

The fourth proportional to 14,462.84, 21,686.58 and 6,665 is: 9,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.84 : 21,686.58 = 6,665 : x
  2. Step 2: Convert to fraction form
    14,462.84/21,686.58 = 6,665/x
  3. Step 3: Cross multiply
    14,462.84x = 21,686.58 × 6,665
  4. Step 4: Simplify right side
    14,462.84x = 144,541,055.70
  5. Step 5: Solve for x
    x = 144,541,055.70/14,462.84
  6. Step 6: Final answer
    x = 9,993.96

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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.