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Finding the Fourth Proportional to 21,178.53, 31,785.30 and 10,651.56

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Solution

The fourth proportional to 21,178.53, 31,785.30 and 10,651.56 is: 15,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.53 : 31,785.30 = 10,651.56 : x
  2. Step 2: Convert to fraction form
    21,178.53/31,785.30 = 10,651.56/x
  3. Step 3: Cross multiply
    21,178.53x = 31,785.30 × 10,651.56
  4. Step 4: Simplify right side
    21,178.53x = 338,563,030.07
  5. Step 5: Solve for x
    x = 338,563,030.07/21,178.53
  6. Step 6: Final answer
    x = 15,986.14

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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.