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Finding the Fourth Proportional to 14,174.84, 21,251.70 and 9,779.96

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Solution

The fourth proportional to 14,174.84, 21,251.70 and 9,779.96 is: 14,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174.84 : 21,251.70 = 9,779.96 : x
  2. Step 2: Convert to fraction form
    14,174.84/21,251.70 = 9,779.96/x
  3. Step 3: Cross multiply
    14,174.84x = 21,251.70 × 9,779.96
  4. Step 4: Simplify right side
    14,174.84x = 207,840,775.93
  5. Step 5: Solve for x
    x = 207,840,775.93/14,174.84
  6. Step 6: Final answer
    x = 14,662.65

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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.