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Finding the Fourth Proportional to 21,139.38, 31,712.72 and 9,453.51

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Solution

The fourth proportional to 21,139.38, 31,712.72 and 9,453.51 is: 14,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,139.38 : 31,712.72 = 9,453.51 : x
  2. Step 2: Convert to fraction form
    21,139.38/31,712.72 = 9,453.51/x
  3. Step 3: Cross multiply
    21,139.38x = 31,712.72 × 9,453.51
  4. Step 4: Simplify right side
    21,139.38x = 299,796,468.38
  5. Step 5: Solve for x
    x = 299,796,468.38/21,139.38
  6. Step 6: Final answer
    x = 14,181.90

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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.