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Finding the Fourth Proportional to 21,007.72, 31,494.45 and 9,770.15

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Solution

The fourth proportional to 21,007.72, 31,494.45 and 9,770.15 is: 14,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.72 : 31,494.45 = 9,770.15 : x
  2. Step 2: Convert to fraction form
    21,007.72/31,494.45 = 9,770.15/x
  3. Step 3: Cross multiply
    21,007.72x = 31,494.45 × 9,770.15
  4. Step 4: Simplify right side
    21,007.72x = 307,705,343.20
  5. Step 5: Solve for x
    x = 307,705,343.20/21,007.72
  6. Step 6: Final answer
    x = 14,647.25

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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.