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Finding the Fourth Proportional to 20,931.95, 31,408.69 and 11,570.22

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Solution

The fourth proportional to 20,931.95, 31,408.69 and 11,570.22 is: 17,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,931.95 : 31,408.69 = 11,570.22 : x
  2. Step 2: Convert to fraction form
    20,931.95/31,408.69 = 11,570.22/x
  3. Step 3: Cross multiply
    20,931.95x = 31,408.69 × 11,570.22
  4. Step 4: Simplify right side
    20,931.95x = 363,405,424.29
  5. Step 5: Solve for x
    x = 363,405,424.29/20,931.95
  6. Step 6: Final answer
    x = 17,361.28

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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.