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Finding the Fourth Proportional to 21,199.82, 31,780.26 and 9,506.66

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Solution

The fourth proportional to 21,199.82, 31,780.26 and 9,506.66 is: 14,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.82 : 31,780.26 = 9,506.66 : x
  2. Step 2: Convert to fraction form
    21,199.82/31,780.26 = 9,506.66/x
  3. Step 3: Cross multiply
    21,199.82x = 31,780.26 × 9,506.66
  4. Step 4: Simplify right side
    21,199.82x = 302,123,967.63
  5. Step 5: Solve for x
    x = 302,123,967.63/21,199.82
  6. Step 6: Final answer
    x = 14,251.25

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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.