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Finding the Fourth Proportional to 14,379.84, 21,562.56 and 6,582

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Solution

The fourth proportional to 14,379.84, 21,562.56 and 6,582 is: 9,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,379.84 : 21,562.56 = 6,582 : x
  2. Step 2: Convert to fraction form
    14,379.84/21,562.56 = 6,582/x
  3. Step 3: Cross multiply
    14,379.84x = 21,562.56 × 6,582
  4. Step 4: Simplify right side
    14,379.84x = 141,924,769.92
  5. Step 5: Solve for x
    x = 141,924,769.92/14,379.84
  6. Step 6: Final answer
    x = 9,869.70

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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.