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Finding the Fourth Proportional to 20,916.47, 31,371.93 and 7,767.06

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Solution

The fourth proportional to 20,916.47, 31,371.93 and 7,767.06 is: 11,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916.47 : 31,371.93 = 7,767.06 : x
  2. Step 2: Convert to fraction form
    20,916.47/31,371.93 = 7,767.06/x
  3. Step 3: Cross multiply
    20,916.47x = 31,371.93 × 7,767.06
  4. Step 4: Simplify right side
    20,916.47x = 243,667,662.63
  5. Step 5: Solve for x
    x = 243,667,662.63/20,916.47
  6. Step 6: Final answer
    x = 11,649.56

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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.