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Finding the Fourth Proportional to 19,471.42, 29,206.08 and 11,146.24

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Solution

The fourth proportional to 19,471.42, 29,206.08 and 11,146.24 is: 16,718.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471.42 : 29,206.08 = 11,146.24 : x
  2. Step 2: Convert to fraction form
    19,471.42/29,206.08 = 11,146.24/x
  3. Step 3: Cross multiply
    19,471.42x = 29,206.08 × 11,146.24
  4. Step 4: Simplify right side
    19,471.42x = 325,537,977.14
  5. Step 5: Solve for x
    x = 325,537,977.14/19,471.42
  6. Step 6: Final answer
    x = 16,718.76

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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.