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Finding the Fourth Proportional to 19,700.17, 29,555.73 and 10,941.23

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Solution

The fourth proportional to 19,700.17, 29,555.73 and 10,941.23 is: 16,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700.17 : 29,555.73 = 10,941.23 : x
  2. Step 2: Convert to fraction form
    19,700.17/29,555.73 = 10,941.23/x
  3. Step 3: Cross multiply
    19,700.17x = 29,555.73 × 10,941.23
  4. Step 4: Simplify right side
    19,700.17x = 323,376,113.64
  5. Step 5: Solve for x
    x = 323,376,113.64/19,700.17
  6. Step 6: Final answer
    x = 16,414.89

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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.